Question

The nonnegative function given below is a probability density function.

{3/7 e^−3t/7 if t ≥ 0
0 if t < 0
(a) Find P(0 ≤ t ≤ 2).
(b) Find E(t).

Answer 1

a) 0.5756

b) 2.3333

Explanation:

A) for p ( 0 ≤ t ≤ 2)

= 1 -
`e^(6)/(7)` = 0.5756

B) for E(t)

= 7/3 = 2.3333

attached below is the remaining part of the solution