Question no 1

I, You are told that random variable X has PDF (a) (b) (c) (d) (e) (f) (g) 8.r for O .r fx(x) O otherwise Is fx(x) a valid PDF? How can you check this? Find the CDF of X. Explain in words what thc CDF repre*ynts and explain how you found it. Find Pr(X < l) Find Pr(X > l) Find < x < l) Find Pr(X > < l) Find pr(X < < l) 2. Let X be au exponential random variable with B, = (a) (b) (c) (d) (e) (f) Find Prcx < 1) Find Pr(X < l) Find < X < l) Find Pr(.v < Ix < 1) Find Prix > Ix < 1) Find Pr(X < IIX < l)