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Chapter 5: Q 76. (page 330)
Rolling dice Suppose you roll two fair, six-sided dice—one red and one green. Are the events “sum is 8” and “green die shows a 4” independent? Justify
your answer.
Yes, not independent.
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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.
The students in Mr. Tabor’s AP Statistics class completed a brief survey. One of the questions asked whether each student was right- or left-handed. The two-way table summarizes the class data. Choose a student from the class at random. The events of interest are “female” and “right-handed.”
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.
Playing cards Shuffle a standard deck of playing cards and deal one card. Define events : getting a jack, and : getting a red card.
(a) Construct a two-way table that describes the sample space in terms of events and .
(b) Find and .
(c) Describe the event “ and ” in words. Then find
(d) Explain why Then use the general addition rule to compute
Brushing teeth, wasting water? A recent study reported that fewer than half of young adults turn off the water while brushing their teeth. Is the same true for teenagers? To find out, a group of statistics students asked an SRS of 60 students at their school if they usually brush with the water off. How many
students in the sample would need to say “No” to provide convincing evidence that fewer than half of the students at the school brush with the water off? The Fathom dot plot below shows the results of taking 200 SRSs of 60 students from a population in which the true proportion who brush with the
water off is 0.50.
(a) Suppose 27 students in the class’s sample say “No.” Explain why this result does not give convincing evidence that fewer than half of the school’s students brush their teeth with the water off.
(b) Suppose 18 students in the class’s sample say “No.” Explain why this result gives strong evidence that fewer than 50% of the school’s students brush
their teeth with the water off.
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