Chapter 5: Q. 57 (page 329)
The most common bet in craps is the “pass line.” A pass line bettor wins immediately if either a or ancomes up on the first roll. This is called a natural. What is the probability that a natural does not occur?
a.
b.
c.
d.
e.
The probability that a natural does not occur is (e)
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Who eats breakfast?Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, asking, “Do you eat breakfast on a regular basis?” All students in the school responded to the survey. The resulting data are shown in the two-way table.
Suppose we select a student from the school at random. Define event as getting a female student and event as getting a student who eats breakfast regularly.
a. Find
b. Find . Interpret this value in context.
c. Find .
A total of repetitions of the simulation were performed. The number of makes in each set of simulated shots was recorded on the dotplot. What is the approximate probability that a shooter makes or more shots in attempts?
a.
b.
c.
d.
e.
Liar, liar! Sometimes police use a lie detector test to help determine whether a suspect is
telling the truth. A lie detector test isn’t foolproof—sometimes it suggests that a person is
lying when he or she is actually telling the truth (a “false positive”). Other times, the test
says that the suspect is being truthful when he or she is actually lying (a “false negative”).
For one brand of lie detector, the probability of a false positive is 0.08.
a. Explain what this probability means.
b. Which is a more serious error in this case: a false positive or a false negative? Justify
your answer.
Which of the following is a correct way to perform the simulation?
a. Let integers from represent making a free throw and represent missing a free throw. Generate random integers from. Count the number
of made free throws. Repeat this process many times.
b. Let integers from represent making a free throw and represent missing a free throw. Generate 50 random integers from 1 to 50 with no repeats
allowed. Count the number of made free throws. Repeat this process many times.
c. Let integers fromrepresent making a free throw and represent missing a free throw. Generate 50 random integers fromCount the number of made free throws. Repeat this process many times.
d. Let integers from localid="1653986588937" represent making a free throw and localid="1653986593808" represent missing a free throw. Generate 50 random integers from localid="1653986598680" with no repeats allowed. Count the number of made free throws. Repeat this process many times.
e. None of the above is correct.
Is this your card? A standard deck of playing cards (with jokers removed) consists of 52 cards in four suits—clubs, diamonds, hearts, and spades. Each suit has 13 cards, with denominations ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. The jacks, queens, and kings are referred to as “face cards.” Imagine that we shuffle the deck thoroughly and deal one card. The two-way table summarizes the sample space for this chance process based on whether or not the card is a face card and whether or not the card is a heart.
| Type of card | |||
| Face card | Non-Face card | Total | |
| Heart | |||
| Non-Heart | |||
| Total | |||
Are the events “heart” and “face card” independent? Justify your answer.
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