The following density function describes a random variable X. 16 - X f(x) = X 64 if 0

The following density function describes a random variable X. = if 0 < x < 8 and 64 (Round all decimals to at 'east 3 places.) (a) Find the probability that X lies between 2 and 6: .250 (b) Find the probability that X lies between 7 and 12: O (c) Find the probability that X is less than I l: .d04 (d) Find the probability that X is greater than 6: -71B f(x) = 16 x if 8 < x < 16. 64