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The joint probability mass function of random variables X and Y is defined as: p(x,y) y 5 10 x –2 0.22 0.08 0 0.12 0.12 2 0.26 0.20 What is the value of P{X =2 | Y =10}? (Please enter your answer in x.x format) p(x,y) y 5 10 x –2 0.22 0.08 0 0.12 0.12 2 0.26 0.20 Solution Here, P(X = 2|Y = 10) = P(X=2 and Y = 10) / P(Y = 10) = 0.20 / (0.08+0.12+0.20) = 0.5 [ANSWER].

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The joint probability mass function of random variables X and Y is defined as: p(x,y) y 5 10 x –2 0.22 0.08 0 0.12 0.12 2 0.26 0.20 What is the value of P{X =2 | Y =10}? (Please enter your answer in x.x format) p(x,y) y 5 10 x –2 0.22 0.08 0 0.12 0.12 2 0.26 0.20 Solution
Here, P(X = 2|Y = 10) = P(X=2 and Y = 10) / P(Y = 10) = 0.20 / (0.08+0.12+0.20) = 0.5 [ANSWER]

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The joint probability mass function of random variables X and Y is d.pdf

  • 1. The joint probability mass function of random variables X and Y is defined as: p(x,y) y 5 10 x –2 0.22 0.08 0 0.12 0.12 2 0.26 0.20 What is the value of P{X =2 | Y =10}? (Please enter your answer in x.x format) p(x,y) y 5 10 x –2 0.22 0.08 0 0.12 0.12 2 0.26 0.20 Solution
  • 2. Here, P(X = 2|Y = 10) = P(X=2 and Y = 10) / P(Y = 10) = 0.20 / (0.08+0.12+0.20) = 0.5 [ANSWER]