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Chapter 5: Q T5.10. (page 337)
A deck of playing cards has cards, of which are face cards. If you shuffle the deck well and turn over the top cards, one after the other, what鈥檚 the probability that all 3 are face cards?
The correct option is
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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 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.
Fill 鈥檈r up Refer to Exercise 83. Given that the customer paid with a credit card, find the probability that she bought premium gas.
Who eats breakfast? Refer to Exercise 49.
(a) Construct a Venn diagram that models the chance process using events B: eats breakfast regularly, and M: is male.
(b) Find Interpret this value in context.
(c) Find Interpret this value in context.
Lotto In the United Kingdom鈥檚 Lotto game, a player picks six numbers from 1 to 49 for each ticket. Rosemary bought one ticket for herself and one for each of her four adult children. She had the lottery computer randomly select the six numbers on each ticket. When the six winning numbers were drawn, Rosemary was surprised to find that none of these numbers appeared on any of the five Lotto tickets she had bought. Should she be? Design and carry
out a simulation to answer this question. Follow the four-step process.
Mac or PC? A recent census at a major university revealed that 40% of its students mainly used Macintosh computers (Macs). The rest mainly used
PCs. At the time of the census, of the school鈥檚 students were undergraduates. The rest were graduate students. In the census, of the respondents were graduate students who said that they used PCs as their
primary computers. Suppose we select a student at random from among those who were part of the census and learn that the student mainly uses a Mac.
Find the probability that this person is a graduate student. Show your work.
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