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Find the probability mass function for W.

Find the probability mass function for W.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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 You may need to use technology to answer this question.
Transcribed Image Text: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 You may need to use technology to answer this question.
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