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Chapter 5: Q. 27 (page 313)
Ten percent of U.S. households contain or more people. You want to simulate choosing a household at random and recording 鈥淵es鈥� if it contains or more people. Which of these is a correct assignment of digits for this simulation?
a.
b.
c.
d.
e. None of these
The correct answer is option b
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Another commercial If Aaron tunes into his favorite radio station at a
randomly selected time, there is a probability that a commercial will be playing.
a. Interpret this probability as a long-run relative frequency.
b. If Aaron tunes into this station at randomly selected times, will there be exactly one
time when a commercial is playing? Explain your answer.
Foreign-language studyChoose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of results:
a. What鈥檚 the probability that the student is studying a language other than English?
b. What is the probability that a student is studying Spanish given that he or she is
studying some language other than English?
Middle school values Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data.
Suppose we select one of these students at random.
Free-throw practice At the end of basketball practice, each player on the team must shoot free throws until he makes of them. Dwayne is a free-throw shooter. That is, his probability of making any free throw is . We want to design a simulation to estimate the probability that Dwayne make free throws in at most shots. Describe how you would use each of the following chance devices to perform one trial of the simulation.
a. Slips of paper
b. Random digits table
c. Random number generator
Butter side down Researchers at Manchester Metropolitan University in England
determined that if a piece of toast is dropped from a-foot-high table, the probability
that it lands butter side down is .
a. Explain what this probability means.
b. Suppose that the researchers dropped pieces of toast, and all of them landed butter
side down. Does that make it more likely that the next piece of toast will land with the
butter side up? Explain your answer.
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