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).

Question

asked Apr 2, 2021 35.6k views

1 Answer

Jzbruno · Answer 1 · 2021-04-05T23:55:58+0000

Answer:

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

$The nonnegative function given below is a probability density function. {3/7 e^−3t-example-1$