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Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Free gourmet lunches and snacks, freedom to bring pets to work, and free fitness classes are among some of the employee perks at Google. AS part of the application process, each candidate must pass an entrance exam. The candidate scores on the Google entrance exam follow a normal distribution with a mean of 60 points and a standard deviation of 12 points. • A candidate who scores more than 75 points on the entrance exam is a "top performer" and is automatically asked for a phone interview. • A candidate who scores in the top 30% of the distribution is invited to take the entrance exam again within two weeks of the original exam date. . Otherwise a candidate must wait at least 1 vear before attempting the exam again

Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Free gourmet lunches and snacks, freedom to bring pets to work, and free fitness classes are among some of the employee perks at Google. AS part of the application process, each candidate must pass an entrance exam. The candidate scores on the Google entrance exam follow a normal distribution with a mean of 60 points and a standard deviation of 12 points. • A candidate who scores more than 75 points on the entrance exam is a "top performer" and is automatically asked for a phone interview. • A candidate who scores in the top 30% of the distribution is invited to take the entrance exam again within two weeks of the original exam date. . Otherwise a candidate must wait at least 1 vear before attempting the exam again

MATLAB: An Introduction with Applications
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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Read the following prompts and complete 5.d, 5.e, 5.f, and 5.g

Suppose 24 candidates are selected at random, what model would you use to find the probability that exactly 4 of the candidates will be invited to take the entrance exam again within two weeks of the original exam date? 5.e O N(0, 1) N(7.2, 2.245) N(2.245, 7.2) Bin(24, 0.30) O Bin(0.30, 24) Suppose 24 candidates are selected at random, what is the probability that exactly 4 of the candidates will be invited to take the entrance exam again 5.f within two weeks of the original exam date? 0.0687 0.00000646 0.00003878 0.21 Suppose 200 candidates are selected at random. 5.g Let Y= the number of candidates that invited to take the entrance exam again within two weeks of the original exam date in a random sample of 200 candidates. 1. What is the exact model of Y? Provide all the details of the distribution including any appropriate parameters. 2. What model would you use to approximate the probability that 50 or fewer candidates are invited to take the entrance exam again within two weeks of the original exam date? Be sure to: (a) check what is needed to be able to use the approximate approach (b) provide all work when calculating the appropriate parameters of the approximate model. 3. Find the approximate probability that 50 or fewer candidates are invited to take the entrance exam again within two weeks of the original exam date. • As always, be sure to include all the needed work to determine the approximate probability. • Include (upload) an image (hand sketch or shiny app) that shows the area of the approximate probability using the normal approximation. (Note: as always, include a title (distribution label with attribution) for your image or sketch.) Clearly label your solution with part 1, part 2, part 3
Transcribed Image Text:Suppose 24 candidates are selected at random, what model would you use to find the probability that exactly 4 of the candidates will be invited to take the entrance exam again within two weeks of the original exam date? 5.e O N(0, 1) N(7.2, 2.245) N(2.245, 7.2) Bin(24, 0.30) O Bin(0.30, 24) Suppose 24 candidates are selected at random, what is the probability that exactly 4 of the candidates will be invited to take the entrance exam again 5.f within two weeks of the original exam date? 0.0687 0.00000646 0.00003878 0.21 Suppose 200 candidates are selected at random. 5.g Let Y= the number of candidates that invited to take the entrance exam again within two weeks of the original exam date in a random sample of 200 candidates. 1. What is the exact model of Y? Provide all the details of the distribution including any appropriate parameters. 2. What model would you use to approximate the probability that 50 or fewer candidates are invited to take the entrance exam again within two weeks of the original exam date? Be sure to: (a) check what is needed to be able to use the approximate approach (b) provide all work when calculating the appropriate parameters of the approximate model. 3. Find the approximate probability that 50 or fewer candidates are invited to take the entrance exam again within two weeks of the original exam date. • As always, be sure to include all the needed work to determine the approximate probability. • Include (upload) an image (hand sketch or shiny app) that shows the area of the approximate probability using the normal approximation. (Note: as always, include a title (distribution label with attribution) for your image or sketch.) Clearly label your solution with part 1, part 2, part 3
Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Free gourmet lunches and snacks, freedom to bring pets to work, and free fitness classes are among some of the employee perks at Google. As part of the application process, each candidate must pass an entrance exam. The candidate scores on the Google entrance exam follow a normal distribution with a mean of 60 points and a standard deviation of 12 points. • A candidate who scores more than 75 points on the entrance exam is a "top performer" and is automatically asked for a phone interview. A candidate who scores in the top 30% of the distribution is invited to take the entrance exam again within two weeks of the original exam date. • Otherwise a candidate must wait at least 1 year before attempting the exam again. Question 6 Subquestions Suppose 24 candidates are selected at random, what is the expected number of candidates that will be invited to take the entrance exam again within 5.d two weeks of the original exam date? 7 candidates 7.2 candidates 2.5344 candidates 3 candidates
Transcribed Image Text:Google recently came in at number four on CNN Money's list of the 100 best companies to work for. Free gourmet lunches and snacks, freedom to bring pets to work, and free fitness classes are among some of the employee perks at Google. As part of the application process, each candidate must pass an entrance exam. The candidate scores on the Google entrance exam follow a normal distribution with a mean of 60 points and a standard deviation of 12 points. • A candidate who scores more than 75 points on the entrance exam is a "top performer" and is automatically asked for a phone interview. A candidate who scores in the top 30% of the distribution is invited to take the entrance exam again within two weeks of the original exam date. • Otherwise a candidate must wait at least 1 year before attempting the exam again. Question 6 Subquestions Suppose 24 candidates are selected at random, what is the expected number of candidates that will be invited to take the entrance exam again within 5.d two weeks of the original exam date? 7 candidates 7.2 candidates 2.5344 candidates 3 candidates
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