The discrete random variable has the following probability distribution function:
if I = 1, f(I) = 2
if I = 2, f(I) = 0
if I = 0, f(I) = 2
if I = 1, f(I) = 0
Compute the following probabilities: P(X < 4), P(X > 3), P(1.2 < X < 7), and find E(2X + 5.8).
b) Suppose that given a continuous random variable whose probability density function is given by f(x) = c(-2x + 4), for 1 < x < 3.
Find the value of c that makes f(x) a probability distribution function and compute the probability P(X < 2).