Please use r codes.

Let X have an exponential distribution with rate A. Show that X has the memoryless property: P(Xy>3:|X>y)=P(X>:r), 32>01y>0. Now let X have a geometric distribution with success p and probability distribution Mk) 2 (1 p)k 1 Is: : 1, 2, . . .. Show that X has the memoryless property: P(X -m > k|X > m) : P(X > k), k > 1. m. > 1. (k: and m. are integers only.)