Xavier and Yve and Yvette are two real estate agents Let X a

Xavier and Yve and Yvette are two real estate agents. Let X and Y denote the number of houses that Xavier and Yvette will sell next month, respectively. The joint distribution is given below:

0.1

A) Find the probability that Xavier sells no more than 1 house next month.

B) Find the probability that Xavier sells only 1 house given that Yvette sells more than 1 house next month.

Please include any calculator instructions.

Solution

a)

Xavier sells no more than 1 house = Px ( x <= 1 ) = Px(x=0) + Px(x=1)

Px(x=0)= 0.2 + 0.12 + 0.05 = 0.37

Px(x=1) = 0.13 + 0.2 +0.07 = 0.4

Px ( x <=1) = 0.37 + 0.4 = 0.77

b)

P( x = 1 / y > 1 ) = P( x = 1 / y = 2) = 0.07