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Chapter 5: Q 2.1. (page 317)
Shuffle a standard deck of cards, and turn over the top card. Put it back in the deck, shuffle again, and turn over the top card. Define events : first card is a heart, and : second card is a heart.
Yes, events are independent.
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Role-playing games Refer to Exercise 39. Define event A: sum is . Find .
Cold weather coming to A TV weather man, predicting a colder-than-normal winter, said, 鈥淔irst, in looking at the past few winters, there has been a lack of
really cold weather. Even though we are not supposed to use the law of averages, we are due.鈥� Do you think that 鈥渄ue by the law of averages鈥� makes sense in talking about the weather? Why or why not?
If is the event that the person chosen has normal cholesterol (below 200 mg/dl), what鈥檚 P(C)?
Simulation blunders Explain what鈥檚 wrong with each of the following simulation designs.
(a) According to the Centers for Disease Control and Prevention, about of U.S. adults were obese in . To simulate choosing adults at random and seeing how many are obese, we could use two digits. Let to represent obese and to represents not obese. Move across a row in Table D, two digits at a time, until you find 8 distinct numbers (no repeats). Record the number of obese people selected.
(b) Assume that the probability of a newborn being a boy is . To simulate choosing a random sample of babies who were born at a local hospital today and observing their gender, use one digit. Use ran dint (0,9) on your calculator to determine how many babies in the sample are male.
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
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