# Two random varibales, X and Y, have a joint probability density function of the form f(x,y) = k(x+2y) 0 Two random varibales, X and Y, have a joint probability density function of the form f(x,y) = k(x+2y) 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 = 0 elsewhere Find (a) Find the value of k for which this is a valid joint probability density function. (b) the conditional probability that X is greater than 1/2 given that Y=1/2 (c) the conditional probability that Y is less than or equal to, 1/2 given that X is 1/2

Two random varibales, X and Y, have a joint probability density function of the form

f(x,y) = k(x+2y) 0

Two random varibales, X and Y, have a joint probability density function of the form

f(x,y) = k(x+2y) 0 ≤ x ≤ 1, 0 ≤ y ≤ 1

= 0 elsewhere

Find

(a)   Find the value of k for which this is a valid joint probability density function.

(b) the conditional probability that X is greater than 1/2 given that Y=1/2

(c) the conditional probability that Y is less than or equal to, 1/2 given that X is 1/2

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