Problem 5: A professor tries to count the number of students attending lecture in person. For each student in the audience, the professor either counts the student accurately with probability p or misses the student in the count with probability (1 – p). The exact number of attending students is 20. (a) The number of students counted by the professor is a random variable N. What is the PMF of N?

Problem 5: A professor tries to count the number of students attending lecture in person. For each student in the audience, the professor either counts the student accurately with probability p or misses the student in the count with probability (1 – p). The exact number of attending students is 20. (a) The number of students counted by the professor is a random variable N. What is the PMF of N?

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Problem 5: A professor tries to count the number of students attending
lecture in person. For each student in the audience, the professor either
counts the student accurately with probability p or misses the student in the
count with probability (1 – p). The exact number of attending students is
20.
(a) The number of students counted by the professor is a random variable
N. What is the PMF of N?
(b) Let U = 20 – N denote the number of uncounted students. What is the
PMF of U?
(c) What is the probability that the undercount U is 2 or more?
(d) For what value of p is E[U] = 2?

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