Let X be a continuous random variable depend upon the interval [0, 4] with probability density function
p(x) = c(1 4x)
(a) Find the value of c such that p(x) is a valid probability density function.
(b) Find the probability that X is greater than 3.
(c) If X is greater than 1, nd the probability X is greater than 2.
(d) What is the probability that X is less than some number a, assuming 0 < a < 4?