In an experiment where the pointer on a wheel of chance is spun, the possible outcomes arethe numbers from 0 to 12 marked on the wheel. The sample space consists of the numbersin the set {0< S<12}. If the random variable X is defined as X = X(S) = S², map the elementsof the random variable on the real line and explain.

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Answered: In an experiment where the pointer on a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A research team is working on a project to study the time (in seconds) for high school male runners to finisha 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runnersfrom a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded.The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter racefollows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race. (d) If instead of 25, 80 male runners are selected for the study, what is the sampling error at 95% confidencelevel? When the 95% confidence interval is constructed based on a sample with 80 male runners, wouldyou expect the interval will be (I)…
Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
A recent poll indicates that 48% of all registered voters in America plan to vote for a specific candidate in the upcoming presidential election. Suppose a random sample of 20 Americans is taken. Let X represent the sample count who plan to vote for the candidate. What is P(X≠5)?
If the sample space is C = C1UC2 and if P(C1) = 0.62 and P(C2) = 0.55, find Q.2. P(C1NC2).
Dominique, Marco, Clarice, John, and Roberto work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n=2. (b) What is the probability that Dominique and Clarice attend the conference? (c) What is the probability that Marco attends the conference? (d) What is the probability that Roberto stays home? (a) Choose the correct answer below. Note that each person is represented by the first letter in their name. O A. DM, DC, DJ, DR, MC, MJ, MR, CJ, CR, JR, DD, MM, CC, JJ, RR O B. DM,DC DJ,DR,MC,MJ,MR,CJ,CR JR,MD.CD,JD,RD CM, JM,RM JC RC RJ OC. DM, DC, DJ, DR, MC, MJ, MR, CJ, CR, JR O D. DM, DC, DJ, DR (b) The probability that Dominique and Clarice attend the conference is (Round to one decimal place as needed ) (c) The…
It is found that 35% of students from a local college plays for a sports team and 25% of students watches ESPN daily. Of those students who plays sports for a team, 55% of them watch ESPN daily. Find the probability(in percent) that a randomly chosen person from this college: watches ESPN daily and plays for a sports team. plays for a sports team given that they watch ESPN daily
Itranscript One male and one female dam rat pup were randomly selected from 8 litters to perform the swim maze. Each pup was placed in the water at one end of the maze and allowed to swim until it escaped at the opposite end. If the pup failed to escape after a certain period of time, it was placed at the beginning of the maze and given another chance. The experiment was repeated until each pup accomplished three successful escapes. The table to the right reports the number of swims required by each pup. Is there sufficient evidence of a difference between the mean number of swims required by male and female pups? Use a=0.01. Comment on the assumptions required for the test to be valid. B. t> Litter 1 2 3 OC. t 10 12 Female 11 [6526675 10
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 9 2 5 4 6 6 2 7 6 10 8 8 9 7 9 9 9 9 10 9 10 10 10 9 9 10 6 8 10 5 7 10 9 5 9 6 9 860 4 3 6 2 7 10 7 9 9 9 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places. 9

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