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).

a) 0.5756

b) 2.3333

Step-by-step explanation:

A) for p ( 0 ≤ t ≤ 2)

  = 1 - =  0.5756

B) for E(t)

= 7/3 = 2.3333

attached below is the remaining part of the solution

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12