Part B Calculate the electric field at the planet's surface (refer to the astronomical data in the textbook). The solution to the Birthday paradox is well known, nonetheless we shall derive it. Suppose the population density of a sample of deer is 50 per square kilometer. probability of one people having birthday on Friday = 1/ 7. 1. Step 8/8 Step 8: As we continue moving towards the right end of the beam, the bending moment increases parabolically again due to the uniformly distributed reaction force from the ground. 3 m 3 ft 3 3 ft Fig. Transcribed image text: For the uniformly distributed beam as shown in Figure 3, Table 1 Determine the bending moment equation (in terms of x,w, and L ) at a section located at a distance x from the left support EI=M= b) Determine the slope equation in the terms of in term of x,P and LEI=EIθ= Determine the equation of Aug 17, 2021 · Answer the following questions about a family of six people, assuming that the birthdays are uniformly distributed through the days of a week, through the days of a month, through each month of a year, and through the 365 days of the year. Show transcribed image text. There are 4 steps to solve this one. Assuming that birthdays are uniformly distributed throughout the week, the probability that two strangers passing each other on the street were both born on Sunday is? (c) 1/49 Which of the following are characteristics of a t-distribution curve? Question: Assuming that workers' salaries in your company are uniformly distributed between $15,000 and $40,000 per year, find the probability that a randomly chosen worker earns an annual salary between $25,000 and $30,000. 1 4 Assuming that the reaction of the ground is uniformly distributed, draw the shear That is answering the probability that one specific person has the same birthday as anyone else. Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending moment diagrams for the beam AB. S_min = |M\/sigma_all = 3200/24 = 133. select the most economical wide-flange beam to support the loading shown. 5 ft. a. PROBLEM 5. 3 kN 3 KN C DV В -1. There are 3 steps to solve this one. 1. 3 in^3 Question: 12. Question: Problem 04: Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value (a) of the shear, (b) of the bending moment. The actual answer turns out to be, surprisingly I suppose, 23. 9 m 03 m 0. 10 kN/m 36 kN 10 kN/m C D E А B 0. Assuming that workers' salaries in your company are uniformly distributed between $15,000 and $30,000 per year, calculate the average salary in your company. There are 2 steps to solve this one. c. $ x Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on. Question: Question 5 Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending- moment diagrams for the beam AB and determine the maximum absolute value a) of the shear (5 marks) b) of the bending moment (5 marks) 10 kN/m 36 kN 10 kN/m Inc с D E А B 0. A bit like the handshake puzzle. 16 For the beam and loading shown, determine the maximum normal stress due to bending on a transverse section Assuming that the population is uniformly distributed what would the population size be if the deer encompassed an area that was 20km x 200km? Round your answer to the nearest whole number. Problem 7. You will need to do the following • Generate a function that returns a random birthday in a given 365 day year. 9 m Figure AQ5 Let the input random variable x to a channel beuniformly distributed over the interval -12≤x≤+12. Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending- moment diagrams for the beam AB and determine the maximum absolute value (a) of the shear, (b) of the bending moment. Assuming that the load combination of 1. Beam load-carrying capacity. Firstly, we choose n different days in a year for n people, that is equal to $^{365}{{C}_{n}}$. = f. 9973 = 0. Graph the probability distribution. Assuming the upward reaction of the ground on beam A B A B A B to be uniformly distributed, (a) (a) (a) draw the shear and bending moment diagrams, (b) (b) (b) find the maximum absolute values of the shear and bending moment. Apr 12, 2017 · At a certain moment of time an accident occurs at a point uniformly distributed on the road. Calculating Probability Question 5 Assuming that birthdays are uniformly distributed throughout the year; what is the probability that twO strangers passing each other on the street were both born in months that start with the letter J? Select one: 16 1 144 1 Assuming the upward reaction of the ground to be uniformly distributed and knowing that the allowable normal stress for the steel used is 24. (a) Find I (x;Y) as a function of a. Apr 23, 2022 · The number of days in a month varies, so the assumption that a person's birth month is uniformly distributed over the 12 months not quite accurate. 9 m 0. Also assume that a year is exactly 365 days and each month is exactly 30 days. This continues until we reach the end of the distributed load. 159 m from the surface of a solid insulating sphere with radius 0. That is, find Plx = 19) g. $ Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on. g. 13 3t Fig. X 000 Population Growth Problems: 9. Let X be the Assuming that workers' salaries in your company are uniformly distributed between $35,000 and $75,000 per year, find the probability that a randomly chosen worker earns an annual salary between $40,000 and $55,000. P12. The data follow a uniform distribution where all values between and including zero and 14 are equally likely. This continues until we reach the right end of the beam, where the bending moment is back to zero. 5 IN 2 kipit 24 kips 2 kipit D D -0. A 91:3 1000 A e. Question: Assuming the upward reaction of the ground to be uniformly distributed and knowing that the allowable normal stress for the steel used is 24 ksi. A) Assuming the sphere's charge is uniformly distributed, what is the charge density inside it? B) Calculate the electric field inside the sphere at a distance of 0. Round to 4 decimal places. Multiply those two and you have about 0. Consider moment and shear. 4 ksi, determine the section modulus and select the most economical wide-flange beam to support the loading shown using the table given below. If 47 deer die and 32 deer are born Apr 2, 2023 · Exercise 5. Question: Question: How likely is there to be a shared birthday among N randomly selected strangers assuming birthdays are uniformly distributed throughout the year, and neglecting leap years (those poor souls don't count). 2 kips/it 24 kips 2 kips/it DV E А B 3 ft 3 3 ft 3 ft. If 47 deer die and 32 deer are born Assuming that workers' salaries in your company are uniformly distributed between $30,000 and $65,000 per year, calculate the average salary in your company. Find the probability that X is at most 9. Free Sundae. The workers' salaries in our company are uniformly distributed between $ 35,000 and $ 75,000 per year. Question: 5. Question 5 Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending- moment diagrams for the beam AB and determine the maximum absolute value a) of the shear (5 marks) b) of the bending moment (5 marks) 36 kN 10 kN/m 10 kN/m A 0. Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on. Unlock. ()IA 91 j. Assuming that :: Difficulty:3. 05 was conducted to investigate whether the number of babies born in a town is uniformly distributed across the months of the year. 12 Assuming that the upward reaction of the ground is uniformly distributed, draw the shear and bending- moment diagrams for the beam AB and determine the maximum absolute value of (a) the shear, (b) the bending moment. ) Assuming that the ambulance’s location at the moment of the accident is also uniformly distributed, compute, assuming independence, the distribution Assuming that the reaction of the ground is uniformly distributed, draw the bending moment diagram This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 9 m. f(x) = kekx on [0, 2] Civil Engineering questions and answers. 4Fy. There is no net immigration or emigration. 0. L = 4. Assuming that workers' salaries in your company are uniformly distributed between $25,000 and $80,000 per year, calculate the average salary in your company. 14 Assuming that the reaction of the ground is uniformly dis- tributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value (a) of the shear, (b) of the bending moment 1. 13 and 5. (This is wrong on two counts − there are 366 possible birthdays including February 29, and in the U. 5 KN 1. Now You are a VIP of this theater, and you are given the opportunity to choose any position Nov 28, 2017 · Let the random variable X denote the time of her departure, and the random variable Y the travel time. 100% (1 rating) Question: Assuming that workers' salaries in your company are uniformly distributed between $15,000 and $65,000 per year, find the probability that a randomly chosen worker earns an annual salary between $30,000 and $45,000. Also assume that the year is exactly 365 days and each month is exactly 30 days. Assuming that each decrement in the multiple decrement table is uniformly distributed over each year of age, calculate 𝑞𝑥 (1). 2. For the probability of a singular event (e. A chi-square goodness-of-fit test using a significance level of α=0. Let the output of the channel be Y=X+Z, where the noise random variable is uniformly distributed over the interval −a/2≤z≤+a/2. 11. ) 200 kips 200 Question: assuming that workers' salaries in your company are uniformly distributed between $20,000 and $70,000 per year, find the probability that a randomly chosen worker earns an annual salary between $45,000 and $65,000. , a person being born on a particular day of the week), we presumably have seven equally likely outcomes (one for each day of the week). (i) determine Cb for the beam, (ii) determine the moment capacity of the beam That is answering the probability that one specific person has the same birthday as anyone else. Assuming that the population is uniformly distributed what would the population size be if the deer encompassed an area that was 20km x 200km? Step 1/7 Identify the given information We have a beam AB with a uniformly distributed reaction of the ground. P(2 We would like to show you a description here but the site won’t allow us. Transcribed image text: Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams Each day of the week is equally likely to be a person's birthday, because the event is said to be uniformly distributed. 0027 as the probability that they have the same birthday. Apr 18, 2008 · You have the option of getting in line at any time. Probability. That makes sense, thank you! Probability-Modeling Likelihood:Question 1 Assuming that birthdays are uniformly distributed throughout the year, what is the probability that two strangers passing each other on the street were both born in months that end in the letter " r "? Select one: (1)/(3) (1)/(9) (1)/(48) (1)/(4) According to the problem, the birthdays are uniformly distributed throughout the week. 0x1015 cm-3 and 5. B) You may need to use the appropriate appendix table or technology to answer this question. A uniform distribution is defined as a type of probability distribution wherein every possible outcome is equally likely. Calculate at i 4%: a. (4) 91 h. P5. M. Let the output of thechannel be Y=x+Z, where the noise random variable is uniformly distributed overthe interval -a2≤z≤+a2. 3 m 0. 9973 as the probability that any two people have different birthdays, or 1−0. What is the probability that at least two of the family members have the same A Probability Brain Teaser: At a movie theater, the manager announces that they will give a free ticket to the first person in line whose birthday is the same as someone who has already bought a ticket. Express your answer with the appropriate units. Euler buckling load of column with effective length. But, for simplicity, let’s assume that there are 365 An accident occurs at a point X that is uniformly distributed on a road of length L. Question: Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending moment diagrams for the beam AB. However real-world birthdays are not sufficiently uneven to make much change: the real-world group size necessary to have a greater than 50% chance of a shared birthday is 23, as in the theoretical uniform distribution. Question: Assuming the upward reaction of the ground to be uniformly distributed and knowing that the allowable normal stress for the steel used is 170 MPa. Assuming that these random variables are independent and uniformly distributed , find the probability that the woman reaches before 9 A. Assuming that workers' salaries in your company are uniformly distributed between $20,000 and $70,000 per year, find the probability that a randomly chosen worker earns an annual salary between $35,000 and $60,000. 8 Assuming that each decrement in the multiple decrement table is uniformly distributed over Assuming that the charge is uniformly distributed along the axial direction of the concentric hollow cylinders, we can derive the linear charge densities of the inner, + ρ l and outer cylinders, -ρ l. Imagine going to a party with 23 friends. 𝑞𝑥 ′(1)= r. 9 m C D 0. Answer. 206 m from the center. It is laterally supported at the supports and at midspan (18'). u = e. You have the option of getting in line at any time. Assume birthdays are uniformly distributed and there is no leap year complication. 5 kN 1. 9 m Figure 4. 3 m, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. Well I tried in these way, X ~ U ( 0, 1/2 ) and Y ~ U ( 4/6 , 5/6 ) Thus I tried finding P ( X+ Y < 1 Sep 5, 2023 · It is commonly assumed that birthdays are uniformly distributed throughout the year, but in reality, there are some seasonal trends that can be observed. What is the probability that two people were born on a Friday? Assume that birthdays are equally distributed throughout the week. Question: Assuming that the reaction of the ground to be uniformly distributed draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value of (a) of the shear, (b) of the bending moment. Then, n people are chosen for their birthdays, so this is distribution, which is equal to Here’s the best way to solve it. 0x1020 cm-3? Here’s the best way to solve it. See Answer. 3. Calculate the allowable superimposed uniformly distributed load that may be placed on a structural steel wide flange W14 x 34 that has a simple span length of 6. I can't figure out what I'm doing wrong. 9 m B. 12 Assuming that the upward reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value (a) of the shear, (b) of the bending moment. You are in line at an ice cream shop when the manager announces that she will give a free sundae to the first person in line whose birthday is the same as someone who has already bought an ice cream. Assume that deaths are uniformly distributed between integral ages. 100% (3 ratings) Question: 3. Following this, since birthdays are independent events, the probability that both strangers were born on a Sunday is obtained by multiplying the Question: Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam AB. t r r b. In this case, is Jan. Assuming that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365 day year, what position in line gives you the best chance of being the first duplicate birthday? And what is the probability of getting a free ticket at the best position in line? A) Assuming that workers' salaries in your company are uniformly distributed between $35,000 and $75,000 per year, find the probability that a randomly chosen worker earns an annual salary between $45,000 and $55,000. You can read all about this famous problem here to learn how to calculate the probability that at least two of n n people share a birthday. Assuming that X and Y are independent, find the expected distance between the ambulance and the point of the accident. 5 m. 14 Assuming the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value of (a) the shear, (b) the bending moment. The data that follow are the number of passengers on 35 different charter fishing boats. Suppose that birthdays are uniformly distributed over the 365 days of the year. Calculate the charge density on Mars, assuming all the charge is uniformly distributed over the planet's surface. Question: 39. Assuming dopant atoms are uniformly distributed in a silicon crystal, how far apart are these atoms when the doping concentrations are 5. I HOPE I …. Question: Assuming that birthdays are uniformly distributed throughout the week, the probability that two strangers passing each other on the street were both born on Sunday is 1/7 2/7 1/49 2/49 4/49. . 14. 100% (8 ratings) Step 1. View the full answer. Step 1 of 3. PD = 33 kips, and w = 3. 2D + 1. S. 1 91:3 ()IA 27. Assuming that birthdays are uniformly distributed on 365 days of the year, then what is the probability that 25 randomly selected people will all have different birthdays? This problem has been solved! Assuming that birthdays are uniformly distributed over a year containing 365 days, what is the probability that at least two people in a group of 30 people have the same birthday? Step-by-step solution. (b) For a=1 find the capacity of the channel when the input x Mar 31, 2020 · For a group of $130$ people, assuming that each person is equally likely to have a birthday on each of $365$ days in the year, compute a) the expected number of days of the year that are birthdays of exactly $3$ people and b) the expected number of distinct birthdays. May 25, 2003 · The first person could have any birthday ( p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays ( p = 364÷365). Now we want the third person to be born in any month other than Jan. 93 2| 91 A f. Fig. X- b. 4 ft. probability of another people has birthday on Friday = 1/7. Jun 13, 2024 · Now, in the question it is given that a group of n people should all have different birthdays. Assuming that you do not know anyone else's birthday and that all birthdays are uniformly distributed across the There are ${5\choose2}$ ways to pick 2 people out of 5. Find the probability that a person is born at the exact moment week 19 ends. Therefore, the probability that one stranger was born on a Sunday is 1/7. Investments in junk bonds are declining continuously at a rate of 1% per year. Assuming the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam A B and determine the maximum absolute value of (a) the shear, (b) the bending moment. They can be said to follow a uniform distribution from 0 to 2 (spread of 52 weeks). probability of two people was born on Friday = 1/7× 1/7 = 1/ 49. 1000 A(12) i. answer below ». The answer should be in units of kip?ft with 1 digit of accuracy. . Answer the following questions about a family of six people, assuming that the birthdays are uniformly distributed through the days of a week, through the days of a month, through each month of a year, and through the 365 days of the year. (a) Find I (X;Y) as a function of a. 1 91:3 A c. 2/4. f(x) = = d. 3 m Fig. Problem 2 In addition to distributed dead load, the continuous beam shown below is subjected to uniformly distributed live load. Question: Assuming that workers' salaries in your company are uniformly distributed between $20,000 and $30,000 per year, calculate the average salary in yoour company. 9 m E 0. This exercise uses the normal probability density function and requires the use of either technology or a table of values Assuming that workers' salaries in your company are uniformly distributed between $45,000 and $80,000 per year, calculate the average salary in your company. Jun 2, 2024 · Extensions of the birthday paradox FAQs. a) A random variable X is uniformly distributed between 2 and 10. 14 Question: 5. Assuming that workers' salaries in your company are uniformly distributed between $10,000 and $15,000 per year, calculate the average salary in your company. Please do it step by step and explain each step. Question: Answer the following questions about a family of 5 people, assuming that birthdays are uniformly distributed through the days of the week, month, and a year. A 91 b. Births are approximately uniformly distributed throughout the year. Var Z[] if Z is the present value random variable for a whole life on (91). What is the probability that they have different birthdays? Question: 12. Find the probability that X is between 4 and 6. 8. S_min = 2206 times 10^3 num^3 Lightest wide flange section: W610 times 101 4. Let the input random variable X to a channel be uniformly distributed over the interval −1/2≤x≤+1/2. If you have a large group of people (n > 365), and their birthdays are uniformly distributed over the year (365 days), what's the probability that every da Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value (a) of the shear, (b) of the bending moment. The electric field at a distance of 0. By analyzing the distribution of birthdays in a population, researchers can gain insights into various factors that affect birth rates. The structure's finite section is illustrated below. find the value of k for which the given function is a probability density function. 45 Assuming the upward reaction of the ground on beam AB to be uniformly distributed and knowing that a=0. P (4 < X < 6) = (Please enter a reduced fraction) b) random variable X is uniformly distributed between 6 and 13. Population Growth Problems: 9. 12. Uniformly distributed noise. Assuming that workers' salaries in your company are uniformly distributed between $10,000 and $60,000 per year, calculate the average salary in your company. So, we will use the concept of combination and distribution here. State the values of a and b. Express your answer with the appropriale units. You are given the following for a double decrement table: a. (a) We are asked to determine the mean μ \mu μ and standard deviation σ \sigma σ of the birthdays of students born in January if they are uniformly distributed. Fig. (30-points) The following beam is under a uniformly distributed load, is 36' long and is constructed of a W36x194 section and A992 steel. Assume A992 steel with Fy = 50 ksi and Fv = 0. The test produced a test statistic of χ2=5. (Round the final answer to one decimal place. Our expert help has broken down your problem into an easy-to-learn solution you can count on. Since birthdays are assumed to be uniformly distributed throughout the week, each day of the week has an equal chance of being someone's birthday. Assuming that workers' salaries in your company are uniformly distributed between $20,000 and $45,000 per year, find the probability that a randomly chosen worker earns an annual salary between $25,000 and $30,000. 3 91 E d. 6L governs, determine and show by figures the live load distribution patterns used to obtain the following required strength as design basis: (1) factored negative moment Mu at support B (2) factored negative moment Mu Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value (a) of the shear, (b) of the bending moment. We need to find the maximum absolute values of shear and bending moment. Here’s the best way to solve it. 8 kips/ft. 349 m is 1680 N/C Question: Review View Help Ink to Drawing Ink Shape Math Canvas Replay Drawing Tools Convert Insert Replay 3. The birthday paradox calculator allows you to determine the probability of at least two people in a group sharing a birthday. 33. Statistics and Probability questions and answers. 5. To learn more about May 22, 2023 · Assuming birthdays are uniformly distributed throughout the week, the probability that two strangers passing each other on the street were both born on Friday is (1/7) * (1/7) = 1/49. Mechanical Engineering questions and answers. In a roomful of 3 0 people, what is the probability that at least two people have the same birthday? Assume birthdays are uniformly distributed and there is no leap year complication. 90. 998% 99. a). It is important to note that these distributions do not vary angularly. There are 252 deer in a population. In the birthday experiment, set \(m = 12\) and select the indicator variable \(I\). There is a $\frac1{12}$ chance that a person is born in Jan (since we're assuming births are uniformly distributed), so there is a $(\frac1{12})^2$ that two people are born the same month. The goal is to compute P(B), the probability that at least two people in the room have the same birthday. In your case at least two of 85 85 people will share a birthday with a probability of approximately 99. (That is, its distance from one of the fixed ends of the road is uniformly distributed over (0, L). g. Use the Illustrative Life Table with interest at 6% to calculate Question: 5. Assuming that workers' salaries in your company are uniformly distributed between $10,000 and $40,000 per year, find the probability that a randomly chosen worker earns an annual salary between $20,000 and $35,000. Hard. (a) Two people are chosen at random. 9m 0. Expert-verified. 998 %. Assuming that workers' salaries in your company are uniformly distributed between $15,000 and $65,000 per year, find the probability that a randomly chosen worker earns an annual salary between $55,000 and $60,000. At the time of the accident, an ambulance is at a location Y that is also uniformly distributed on the road. 𝑞𝑥 ′(2)= r. (b) For a=1 find the Assuming the upward reaction of the ground on beam AB to be uniformly distributed, (a) draw the shear and bending-moment diagrams, (b) determine the … 01:31 More Solved Questions in Your Textbook Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value of the bending moment. Dec 16, 2014 · The problem is quite simple to formulate. It misses out the cross combinations. At a movie theater, there is a line (queue) for buying the ticket. 14 Assuming that the reaction of the ground is uniformly distributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value (a) of the shear, (b) of the bending moment. 5 kN CV D A B 0. 6 with a corresponding p-value of 0. All you need to do is provide the size of the group. Question: 74. What is the probability that at least two of them were born on the same day of the year? 1. Question: 1. The sample mean = 7. 11 and 12. 9 and the sample standard deviation = 4. Assuming that the population is uniformly distributed what would the population size be if the deer encompassed an area that was 20km x 200km? Round your answer to the nearest whole number. (You can use either the free-body diagram method or the load and shear, shear and bending-moment relationship method to draw the diagrams) There are 2 steps to solve this one. A manager announces that she will give a free ticket to the first, person in line whose birthday is the same as someone who has already bought ticket. more children are born in the summer than in the winter. oi zo rd gr xq bw uo yv pc eb