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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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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.
Airport security The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had passengersin first class and in coach class. Some passengers were surprised when none of the passengers chosen for screening were seated in first class. We can use a simulation to see if this result is likely to happen by chance.
(a) State the question of interest using the language of probability.
(b) How would you use random digits to imitate one repetition of the process? What variable would you measure?
(c) Use the line of random digits below to perform one repetition. Copy these digits onto your paper. Mark directly on or above them to show how you determined the outcomes of the chance process.
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.
Recycling Do most teens recycle? To find out, an AP Statistics class asked an SRS of 100 students at their school whether they regularly recycle. How many students in the sample would need to say 鈥淵es鈥� to provide convincing evidence that more than half of the students at the school recycle? The Fathom dot plot below shows the results of taking 200 SRSs of 100 students from a population in which the true proportion who recycle is 0.50.
(a) Suppose 55 students in the class鈥檚 sample say 鈥淵es.鈥� Explain why this result does not give convincing evidence that more than half of the school鈥檚 students recycle.
(b) Suppose 63 students in the class鈥檚 sample say 鈥淵es.鈥� Explain why this result gives strong evidence that a majority of the school鈥檚 students recycle.
Ten percent of U.S. households contain or more people. You want to simulate choosing a household at random and recording whether or not it contains or
more people. Which of these are correct assignments of digits for this simulation? (a) Odd = Yes (or more people); Even = No (not or more people)
(b) = Yes; = No
(c) = Yes; = No
(d) All three are correct.
(e) Choices (b) and (c) are correct, but (a) is not.
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