SOLUTION: Let X and Y represent discrete random variables with {{{f(x,y)=(xy/18)}}} for x ∈ {1,2,3} and y ∈ {1,2}. Compute P(X = 1 and Y = 2) and P(X +Y = 4).

Question 1136603: Let X and Y represent discrete random variables with for x ∈ {1,2,3} and y ∈ {1,2}. Compute P(X = 1 and Y = 2) and P(X +Y = 4).
Answer by ikleyn(52931) (Show Source): You can put this solution on YOUR website!
.

See how I edited your post to make sense :

    Let X and Y represent discrete random variables with probability density function  for x ∈ {1,2,3} and y ∈ {1,2}. 

    Compute P(X = 1 and Y = 2) and P(X +Y = 4).

Without this editing the post MAKES NO SENSE.

Solution

(a)  P(X = 1 and Y = 2) = f(1,2) =  =  = .    ANSWER



(b)  Notice that  X + Y = 4 is possible only if  (X=3 AND Y=1)  OR  (X=2 AND Y=2).

     Therefore,

     P(X + Y = 4) = P(X=3 AND Y=1) + P(X=2 AND Y=2) = f(3,1) + f(2,2) =  +  =  = .    ANSWER

Solved.

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