# Probability

posted by
**Molly** on
.

Consider an RV X with the following density given parameters α and γ .

f (x) = {(1/γ)e^(-(x-α)/γ) if x>α

{0 if x ≤ α.

a. Find E[X].

b. Find V[X].

c. If α = 4, γ = 2, ﬁnd P (X > 8).

d. Find P (X < α + 3γ ).

e. Find the cdf for X , F (x).