1. E[N] 2. Var(N) Hint: first express N as a summation of n random variables then use the linearity of expectation and the formula for variance of sum of random variables.
1. E[N] 2. Var(N) Hint: first express N as a summation of n random variables then use the linearity of expectation and the formula for variance of sum of random variables.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Suppose n people throw their hats into a box, and each then picks one at random (without replacement and all outcomes are equally likely). Let N denotes the number of people who obtain their own hat. Determine the following:
![1. E[N]
2. Var(N)
Hint: first express N as a summation of n random variables then use the linearity of expectation and the
formula for variance of sum of random variables.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb01e0559-1b03-4a1c-ac9c-ab3a35fb5acd%2F24611624-b498-4324-9aec-ae1f586e105a%2Fhvg159_processed.png&w=3840&q=75)
Transcribed Image Text:1. E[N]
2. Var(N)
Hint: first express N as a summation of n random variables then use the linearity of expectation and the
formula for variance of sum of random variables.
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