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Chapter 5: Q 74. (page 330)
Teachers and college degrees Select an adult at random. Define events : a person has earned a college degree, and : person鈥檚 career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.
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Free throws A basketball player has probability of making a free throw. Explain how you would use each chance device to simulate one free throw by the player.
(a) A six-sided die
(b) Table D of random digits
(c) A standard deck of playing cards
Free downloads? Illegal music downloading has become a big problem: of Internet users download music files, and of downloaders say they
don鈥檛 care if the music is copyrighted.15 What percent of Internet users download music and don鈥檛 care if it鈥檚 copyrighted? Write the information given in terms of probabilities, and use the general multiplication rule.
Keep on tossing The figure below shows the results of two different sets of coin tosses. Explain what this graph says about chance behavior in the short run and the long run.
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鈥檛. 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鈥檛 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.
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.
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