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1. The distribution of B.A. degrees conferred by local college is listed below,

ID: 3363923 • Letter: 1

Question

1. The distribution of B.A. degrees conferred by local college is listed below, by major.

Major

Frequency

English

2073

Mathematics

2164

Chemistry

318

Physics

856

Liberal Arts

1358

Business

1676

Engineering

868

Total frequency

9313

What is the probability that a randomly selected degree is not Physics?

A. 0.907

B. 0.966

C. 0.092

D. 0.908

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2. 100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected find the probability that the person does not work full time.

1 Public transportation: 6 full time, 8 part time

2 Bicycle: 3 full time, 5 part time

3 Drive alone: 29 full time, 33 part time

4 Carpool: 9 full time, 7 part time

A. 0.48

B. 0.47

C. 0.33

D. 0.53

Major

Frequency

English

2073

Mathematics

2164

Chemistry

318

Physics

856

Liberal Arts

1358

Business

1676

Engineering

868

Total frequency

9313

4 16.0% 14.0% 2 8.0% 62.0%

Explanation / Answer

Q 1

Probability that a randomly selected degree is Physics = 856/9313 = 0.092

Probability that a randomly selected degree is not Physics = 1-0.092 = 0.908

Answer: Option D)

Q2

The probability that the person does not work full time= (8+5+33+7)/100 = 53/100 = 0.53

Answer: Option D)