A campus radio station surveyed 228 students to determine th

A campus radio station surveyed 228 students to determine the types of music they like. The survey revealed that 91 like rock only, 108 like country only and 16 like both of these types of music. What is the probability that a randomly selected student likes country but not rock?

a) 0.5439

b) 0.6765

c) 0.5094

d) 0.4737

e) 0.0702

f) None of the above.

Given P(A) = ¹⁷?₅₀ , P(B) = ¹⁷?₂₅ , and P(A ? B^c ) = ²?₅. Find P(A ? B^c ).

a) 0

b) 0.30

c) 0.22

d) 0.29

e) 0.26

f) None of the above.

What is the probability that 5 hearts are chosen if 7 cards are chosen from a well-shuffled deck of 52 playing cards?

a) 0.00000049

b) 0.00000026

c) 0.00712838

d) 0.00000962

e) 0.00000016

f) None of the above.

A business organization needs to make up a 8 member fund-raising committee. The organization has 6 accounting majors and 8 finance majors. What is the probability that at least 4 accounting majors are on the committee?

a) 0.4709

b) 0.0070

c) 0.3497

d) 0.1212

e) 0.0073

f) None of the above.

A fair coin is tossed 26 times. What is the probability that at most 25 tails occur?

a) 0.00000039

b) 0.00000001

c) 0.00000040

d) 0.99999999

e) 0.99999960

f) None of the above.

A fair coin is tossed 29 times. What is the probability that at least 2 tails occur?

a) 0.99999995

b) 0.00000076

c) 0.99999919

d) 0.00000000

e) 0.99999994

f) None of the above.

A business organization needs to make up a 6 member fund-raising committee. The organization has 9 accounting majors and 8 finance majors. What is the probability that at most 2 accounting majors are on the committee?

a) 0.0059

b) 0.2466

c) 0.0023

d) 0.2443

e) 0.0036

f) None of the above.

A classroom of children has 10 boys and 15 girls in which five students are chosen at random to do presentations. What is the probability that more boys than girls are chosen?

a) 0.0593

b) 0.2964

c) 0.3012

d) 0.0047

e) 0.2419

f) None of the above.

Solution

1)c) 0.5094

2) b) 0.30

3)e) 0.00000016

4)c) 0.3497

5)d) 0.99999999

6)b) 0.00000076

7)b) 0.2466

8)b) 0.2964

all answers are correct