Daniel Gussow
Sample midterm problems
Question 1.
Mothers Against Drunk Driving is a very visible organization whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:
a) What is the probability that alcohol played a role in an accident from among those on that Saturday night?
b) What is the probability that one accident involved more than 1 vehicle and alcohol?
c) What is the probability that one accident involved multiple cars or alcohol? Make sure to state the probability rule you are using to arrive at your answer.
d) Given that a multi-car accident occurred, what is the probability that it involved alcohol? e) Are the number of cars involved in an accident and the involvement of alcohol independent? Question 3.
There were 35 million seniors—people aged 65 and older—living in the U.S. in the year
2000.1 Interest in the senior population has been growing, as estimates suggest that between 2000 and 2030 seniors will have risen from 12.4% of the population to be 20% of the U.S. population. Concerns about poverty among seniors, about increasing numbers living alone without any support drive much of the policy discussion about the quality of life of aging Americans. Suppose 5 people are selected at random from the U.S. population. a) What is the probability that at least one of them will be a senior in 2000? How about in 2030?
b) What is the probability that only one of them will be a senior in 2000? How about
2030?
Question 3.Cont.
The following graph and table presents information on the living arrangements of seniors in the United States in 2000. About 41% of seniors are men.
c) What is the probability that
Question 1.
Mothers Against Drunk Driving is a very visible organization whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:
a) What is the probability that alcohol played a role in an accident from among those on that Saturday night?
b) What is the probability that one accident involved more than 1 vehicle and alcohol?
c) What is the probability that one accident involved multiple cars or alcohol? Make sure to state the probability rule you are using to arrive at your answer.
d) Given that a multi-car accident occurred, what is the probability that it involved alcohol? e) Are the number of cars involved in an accident and the involvement of alcohol independent? Question 3.
There were 35 million seniors—people aged 65 and older—living in the U.S. in the year
2000.1 Interest in the senior population has been growing, as estimates suggest that between 2000 and 2030 seniors will have risen from 12.4% of the population to be 20% of the U.S. population. Concerns about poverty among seniors, about increasing numbers living alone without any support drive much of the policy discussion about the quality of life of aging Americans. Suppose 5 people are selected at random from the U.S. population. a) What is the probability that at least one of them will be a senior in 2000? How about in 2030?
b) What is the probability that only one of them will be a senior in 2000? How about
2030?
Question 3.Cont.
The following graph and table presents information on the living arrangements of seniors in the United States in 2000. About 41% of seniors are men.
c) What is the probability that