9 Suppose a testing service is to administer a standardized test at a given locationon a certain test date, and only students who have preregistered can take the test. Suppose 60 stu-dents preregistered, and each of those students actually shows up to take the test with probabilityp= 5/6. Let X denote the number of preregistered students showing up to take the test.(a) Using the Gaussian approximation with the continuity correction, find the approximate numer-ical value of P{X ≤ 52}.(b) Similarly, find the approximate numerical value of P{X-50 ≥6}.(c) Find the Chebychev upper bound on P{X-50 ≥ 6}. Compare it to your answer to part (b).

Given that n = 60 , p = 5 / 6 , q = 1 - p = 1 - ( 5 / 6 ) = 1 / 6

Answered: 9 Suppose a testing service is to…

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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Question 4
9 Suppose a testing service is to administer a standardized test at a given location on a certain test date, and only students who have preregistered can take the test. Suppose 60 stu- dents preregistered, and each of those students actually shows up to take the test with probability p= 5/6. Let X denote the number of preregistered students showing up to take the test. (a) Using the Gaussian approximation with the continuity correction, find the approximate numer- ical value of P{X ≤ 52}. (b) Similarly, find the approximate numerical value of P{X-50 ≥6}. (c) Find the Chebychev upper bound on P{X-50 ≥ 6}. Compare it to your answer to part (b).
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