Answer to Question #304899 in Statistics and Probability for ced

Question

The density function of a random variable X is expressed as f(x) = e^4−xfor x > 4.

(a) Find the cumulative distribution function.

Determine also the following probabilities.

(b)P(X > 6)

(c) P(2 ≤ X < 5)

(d)P(8 < X < 12)

(e) P(X > 1)