Assume X a RV uniformly distributed on (1, 2, 3, 4), ie; P(X= 1) = P(X= 2) = P(X=3)=P(X= 4) = 1/4. Let Y be a RV such that if X=z, then Y is uniformly distributed on {1,....). 1. Find the probability mass function of Y 2. Calculate E(Y)

A First Course in Probability (10th Edition)
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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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Exercise 2
Assume X a RV uniformly distributed on {1,2,3,4}, i.e; P(X= 1) = P(X=2)=P(X= 3)=P(X= 4) = 1/4.
Let Y be a RV such that if X= x, then Y is uniformly distributed on {1,...,a}.
1. Find the probability mass function of Y
2. Calculate E(Y)
Transcribed Image Text:Exercise 2 Assume X a RV uniformly distributed on {1,2,3,4}, i.e; P(X= 1) = P(X=2)=P(X= 3)=P(X= 4) = 1/4. Let Y be a RV such that if X= x, then Y is uniformly distributed on {1,...,a}. 1. Find the probability mass function of Y 2. Calculate E(Y)
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