Question 1

If a woman of 25 years of age or over were chosen at random from the entire U.S. population, here are the probabilities for her highest level of educational attainment:

To make this a legitimate assignment of probabilities, the probability that the woman chosen has less than a high school diploma as her highest level of educational attainment must be:

Accepted Answer

A) 1) 
B)  0.8. 
C)  0.12. 
D)  -0.12. 
E)  0.

Question 2

In many popular board games, a player rolls two dice and moves the number of spaces equal to the sum shown on the dice. Here is the assignment of probabilities to the sum of the numbers on the up faces when two fair dice are rolled:  Suppose Scott and Jennifer each rolls a sum of 9 on their first rolls. What is the probability that Quint will have a greater sum on his first roll?

Accepted Answer

A)  0 
B)  1/6 
C)  1/12 
D)  5/18 
E)  1

Question 3

A collection of possible outcomes from a random phenomenon is called

Accepted Answer

A)  a standard deviation. 
B)  a median. 
C)  an event. 
D)  an average. 
E)  a probability.

Question 4

Suppose a sorority sells 500 raffle tickets to raise money for a local charity. You purchase 17 of the tickets. If the winning ticket is chosen at random, what is the probability that one of your tickets is chosen as the winning ticket?

Accepted Answer

A)  0.17 
B)  0.017 
C)  0.034 
D)  0.500 
E)  0.002

Question 5

If we roll a pair of fair dice and count the number of aces (one dot) showing, the probability model is as follows:

The probability of no aces is

Accepted Answer

A)  0 
B)  1/36. 
C)  2/3. 
D)  25/36. 
E)  impossible to determine.

Question 6

Only 20 of a sample of 275 students say they are vegetarians. Of these, nine eat both milk products and eggs (lacto-ovo vegetarians), three eat eggs but not milk products, and eight eat neither (vegans.) If we choose one of those 275 students at random and the chosen student turns out to be a vegetarian, what is the probability that the chosen student eats neither milk products nor eggs?

Accepted Answer

A)  8/275 
B)  20/275 
C)  8/20 
D)  0.5 
E)  1

Question 7

If a ball game of a certain National League Central Division squad were chosen at random, here is the probability distribution for the number of hits per game this team's utility infielder would have had:

In the randomly chosen game, the probability that the utility infielder has three or more hits is:

Accepted Answer

A)  0.99. 
B)  0.97. 
C)  0.02. 
D)  0.03. 
E)  0.01.

Question 8

If a coin has 0.6 probability of coming up tails, the probability that it comes up heads is

Accepted Answer

A)  0.5. 
B)  -0.2. 
C)  0.4. 
D)  0.6. 
E)  1.0.

Question 9

In backgammon, one rolls a pair of two fair dice. The probability of getting a sum of 7 is

Accepted Answer

A)  3/36. 
B)  4/36. 
C)  5/36. 
D)  6/36. 
E)  None of the answers are correct.

Question 10

A household is a group of people living together at the same address. According to the 2015 Current Population Survey's Annual Social and Economic (CPS ASEC) Supplement, if an American household were chosen at random and asked how many people lived there, here are the probabilities:

What is the probability that the household chosen contains only one person?

Accepted Answer

A)  0.52 
B)  0.27 
C)  0.14 
D)  0.73 
E)  It is not possible to tell from the information given.

Exam 18: Probability Models

A collection of possible outcomes from a random phenomenon is called

Suppose a sorority sells 500 raffle tickets to raise money for a local charity. You purchase 17 of the tickets. If the winning ticket is chosen at random, what is the probability that one of your tickets is chosen as the winning ticket?

If we roll a pair of fair dice and count the number of aces (one dot) showing, the probability model is as follows: The probability of no aces is

If a coin has 0.6 probability of coming up tails, the probability that it comes up heads is

In backgammon, one rolls a pair of two fair dice. The probability of getting a sum of 7 is