Chapter 5: Q 35. (page 298)
You want to estimate the probability that the player makes or more of shots. You simulate 10 shots 25 times and get the following numbers of hits:
What is your estimate of the probability?
(a) , or (d) , or
(b) , or (e) , or
(c) , or
is the probability.
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You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about This means that (a) in every bridge deals, each player has one ace exactly times.
(b) in one million bridge deals, the number of deals on which each player has one ace will be exactly
(c) in a very large number of bridge deals, the percent of deals on which each player has one ace will be very close to
(d) in a very large number of bridge deals, the average number of aces in a hand will be very close to
(e) None of these
Playing cards Shuffle a standard deck of playing cards and deal one card. Define events : getting a jack, and : getting a red card.
(a) Construct a two-way table that describes the sample space in terms of events and .
(b) Find and .
(c) Describe the event “ and ” in words. Then find
(d) Explain why Then use the general addition rule to compute
Role-playing games Computer games in which the players take the roles of characters are very popular. They go back to earlier tabletop games such as Dungeons & Dragons. These games use many different types of dice. A four-sided die has faces with and spots.
(a) List the sample space for rolling the die twice (spots showing on first and second rolls).
(b) What is the assignment of probabilities to outcomes in this sample space? Assume that the die is perfectly balanced.
In government data, a household consists of all occupants of a dwelling unit. Choose an American household at random and count the number of
people it contains. Here is the assignment of probabilities for your outcome:
The probability of finding people in a household is the same as the probability of finding people. These probabilities are marked ??? in the table of the distribution. The probability that a household contains 3 people must be
(a) (b) (c) (d) (e) between and, and we can say no more. 
Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer.
(a) According to a recent survey, of people aged and older in the United States are addicted to email. To simulate choosing a random sample of
people in this population and seeing how many of them are addicted to email, use a deck of cards. Shuffle the deck well, and then draw one card at a
time. A red card means that person is addicted to email; a black card means he isn’t. Continue until you have drawn cards (without replacement) for the sample.
(b) A tennis player gets of his second serves in play during practice (that is, the ball doesn’t go out of bounds). To simulate the player hitting second serves, look at pairs of digits going across a row in Table D. If the number is between and , the service is in; numbers between and indicate that the service is out.
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