The joint probability mass function of random variables X an

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)

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]