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).
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).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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