Problem 5.A professor tries to count the number of students attending lecture. For each student in theaudience, the professor either counts the student properly (with probability p) or overlooks (anddoes not count) the student with probability 1-p. The exact number of attending students is 70.(a) The number of students counted by the professor is a random variable N. What is thePMF of N?(b) Let U = 70 – N denote the number of uncounted students. What is the PMF of N?(c) What is the probability that the undercount U is 2 or more?(d) For what value of p does E[U] = 2?

Answered: Image /qna-images/answer/70f41a23-eb91-48c3-b016-591f61bf1191.jpg

Answered: Problem 5. A professor tries to count…

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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