Probability Test Questions
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
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