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Probability

Find the probability mass function for W.

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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Question

Suppose that

Y₁

is a binomial random variable with four trials and success probability 0.7 and that

Y₂

is an independent binomial random variable with three trials and success probability 0.5. Let

W = Y₁ + Y₂.

W does not have a binomial distribution. Find the probability mass function for W. [HINT:

P(W = 0) = P(Y₁ = 0, Y₂ = 0);

P(W = 1) = P(Y₁ = 1, Y₂ = 0) + P(Y₁ = 0, Y₂ = 1);

etc.] (Round your answers to four decimal places.)

Suppose that Y₁ is a binomial random variable with four trials and success probability 0.7 and that Y₂ is an independent binomial random variable with three trials and success
probability 0.5. Let W = Y₁+Y₂. W does not have a binomial distribution. Find the probability mass function for W. [HINT: P(W = 0) = P(Y₁ = 0, Y₂ = 0);
P(W = 1) = P(Y₁= 1, Y₂ = 0) + P(Y₁ = 0, Y₂ = 1); etc.] (Round your answers to four decimal places.)
p(w)
W
0
1
2
3
4
5
6
7
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