The following density function describes a random variable X. 16x 64 1f 8

The following density function describes a random variable X. x s if 0 < x < 8 and f(x) 64 (Round all decimals to at least 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 11: .804 (d) Find the probability that X is greater than 6: .718 f(x) = 16 x if 8 < x < 16. 64