Problem 1

Let X be a discrete random variable with the following PMF:

1 1-2

for x = 0

1-3

for x = 1

Px(x) =

1-6

for x = 2

0

otherwise

a. Find R X' the range of the random variable X.

b. Find P(X >= 1.5) .

c. Find P(0 < X < 2) .

d. Find P(X=0| X < 2 )