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