Which of the following statements is NOT true if the probabi

Which of the following statements is NOT true if the probability density function of a continuous random variable X is f(x) = 5e-5x; x 0? A. The cumulative distribution function of X is F(x) = 1 - e-5x; x 0 B. E(X) = 0.20 C. All of the given statements are not true. D. P(X < 1) = 0.993 E. Var(X) =0 .02

Solution

Given distribution is exponential distribution with parameter 5.

The Variance of the distribution is 1/5² = 1/25 = 0.04

hence the statement E is not true