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

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

the answer is (-4,-4)

hope this ! : d