Let X be the random variable where PrX x 16 x 1 2 6 Deter

Let X be the random variable where Pr(X = x) =1/6; x = 1; 2; ; 6. Determine

(A) Pr(X>= 3)

(B) Pr(2 <= X<= 5)

Pr(X = x) = 1/6

A)
Pr(X>=3)
= Pr(X=3) + Pr(X=4) + Pr(X=5) + Pr(X=6)
= 1/6 + 1/6 + 1/6 + 1/6
= 2/3

B)
Pr(2 <= X<= 5)
= Pr(X=2) + Pr(X=3) + Pr(X=4) + Pr(X=5)
= 1/6 + 1/6 + 1/6 + 1/6
= 2/3