Question

15. The random variable x is known to be uniformly distributed between 70 and 90. The...

15. The random variable x is known to be uniformly distributed between 70 and 90. The probability of x having a value between 70 to 85 is

a.

0.75

b.

0.5

c.

0.05

d.

1

If P(A) = 0.38, P(B) = 0.83, and P(A ∩ B) = 0.57; then P(A ∪ B) =

a.

1.21

b.

0.64

c.

0.78

d.

1.78

If P(A) = 0.62, P(B) = 0.47, and P(A ∪ B) = 0.88; then P(A ∩ B) =

a.

0.2914

b.

1.9700

c.

0.6700

d.

0.2100
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

15 )

A)

Let ,

The PDF of X is ,

;

= 0 ; otherwise

Now ,

Therefore , the probability of x having a value between 70 to 85 is 0.75

B)

By using addition rule ,

C) By using addition rule ,

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