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Chapter 5: Q 2.1. (page 305)
Make a two-way table that displays the sample space.
To determine if occurrences are independent and to approximate conditional probabilities, use the two-way table as a sample space.
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Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer.
(a) According to a recent poll, of American adults regularly recycle. To simulate choosing a random sample of U.S. adults and seeing how many
of them recycle, roll a -sided die times. A result of , or means the person recycles; a means that the person doesn鈥檛 recycle.
(b) An archer hits the center of the target with of her shots. To simulate having her shoot times, use a coin. Flip the coin once for each of the 10
shots. If it lands heads, then she hits the center of the target. If the coin lands tails, she doesn鈥檛.
Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management The admission Test (GMAT) has the following information about its customers: are currently undergraduate students in business; are undergraduate students in other fields of study; are
college graduates who are currently employed, and are college graduates who are not employed. Choose a customer at random.
(a) What鈥檚 the probability that the customer is currently an undergraduate? Which rule of probability did you use to find the answer?
(b) What鈥檚 the probability that the customer is not an undergraduate business student? Which rule of probability did you use to find the answer?
Texas hold 鈥檈m In popular Texas hold 鈥檈m variety of poker, players make their best five-card poker hand by combining the two cards they are dealt with
three of five cards available to all players. You read in a book on poker that if you hold a pair (two cards of the same rank) in your hand, the probability of getting four of a kind is
(a) Explain what this probability means.
(b) Why doesn鈥檛 this probability say that if you play
1000 such hands, exactly will be four of a kind?
Scrabble Refer to Exercise . About of the time, the first player in Scrabble can 鈥渂ingo鈥� by playing all tiles on the first turn. How many games
of Scrabble would you expect to have to play, on average, for this to happen? Design and carry out a simulation to answer this question. Follow the four step
process.
Government data show that of adults are full-time college students and that of adults are age or older. Since can we conclude that about of adults are college students or older? Why or why not?
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