Question 2 Given P(A) = 37 100 , P(B) = 9 25 and P(A B c ) = 6 25 . Find P(A B). a) 0.18 b) 0.37 c) 0.97 d) 0.12 e) 0.13 f) None of the above.

Question 2

Given P(A) = 37⁄100, P(B) = 9⁄25 and P(A ∩ Bc ) = 6⁄25. Find P(A ∩ B).

a) 0.18

b) 0.37

c) 0.97

d) 0.12

e) 0.13

f) None of the above.

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Question 3

Suppose P(E) = 21⁄50 , P(Fc ) = 19⁄50 , and P(F ∩ Ec ) = 43⁄100. Find P(E ∪ F). 

a) 0.20

b) 0.85

c) 0.01

d) 0.15

e) 0.19

f) None of the above.

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Question 4

Given P(A) = 17⁄50 , P(B) = 67⁄100 , and P(A ∪ Bc ) = 39⁄100. Find P(A ∩ Bc ).

a) 0.29

b) 0

c) 0.27

d) 0.28

e) 0.25

f) None of the above.

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Question 5

147 cars were sold during the month of April. 81 had air conditioning and 82 had automatic transmission. 54 had air conditioning only, 55 had automatic transmission only, and 11 had neither of these extras. What is the probability that a randomly selected car had automatic transmission or air conditioning or both? 

a) 0.1837

b) 0.9252

c) 0.7415

d) 0.5578

e) 0.1985

f) None of the above.

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Question 6

A campus radio station surveyed 223 students to determine the type of music they like. 133 like rock, 96 like country and 18 like both types of music. What is the probability that a randomly selected student likes rock only?

a) 0.5964

b) 0.8655

c) 0.0807

d) 0.1353

e) 0.5157

f) None of the above.

R

Question 7

A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 207 like rock, 163 like country, and 119 like jazz. Moreover, 31 like rock and country, 27 like rock and jazz, 23 like country and jazz, and 11 like all three types of music. What is the probability that a randomly selected student likes at least two of the three types of music? 

a) 0.0220

b) 0.4000

c) 0.1180

d) 0.0940

e) 0.3020

f) None of the above.

Question 8

A fair coin is tossed 16 times. What is the probability that exactly 7 tails occur?

a) 0.0001

b) 0.1746

c) 0.0002

d) 0.2148

e) 0.0017

f) None of the above.