Probability Test Questions

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Problem 1
Suppose that 6 female and 5 female applicants have been successfully screened for 5 positions. If the 5 positions are filled at random form the 11 finalists, what is the probability of selecting:

A: 3 females and 2 males?

B: 4 females and 1 male?

C: 5 females?

D: At least 4 females?

Problem 2
By examining the past driving records of drivers in a certain city, an insurance company has determined the following (empirical) probabilities:

[pic]

If a driver in this city is selected at random, what is the probability that:

A: He or she drives less than 10,000 miles per year or has an accident? (Type a decimal)

B: He or she drives 10,000 or more miles per year and has no accidents? (type a decimal)

Problem 3
In a study to determine frequency and dependency of color-blindness relative to females and males, 1000 people were chosen at random and the following results were recorded:

[pic]

A: Convert the table to a probability table by dividing each entry by 1,000. [pic]

B: What is the probability that a person is a woman, given that the person is color-blind? (Round to the nearest thousandth if needed)

C: What is the probability that a person is color-blind, given that the person is male?

D: Are the events color-blindness and male independent?

E: Are the events color-blindness and female dependent?

Problem 4
After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $40 million if successful (probability .4) and lose $2 million if not (probability .6); site B will net $60 million if successful (probability .3) and lose $8 million if not (probability .7). Which site should the company choose according to the expected return from each site?

A: What is the expected return for site A? ___ million

B: What is the expected return for site B? ___ million

C: Which site should the company choose? (Site A or Site B)

Problem 5
Find...
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