Chapter 5: Q. 26 (page 312)
A total of repetitions of the simulation were performed. The number of makes in each set of simulated shots was recorded on the dotplot. What is the approximate probability that a shooter makes or more shots in attempts?
a.
b.
c.
d.
e.
The correct answer is option c
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Waiting to park Do drivers take longer to leave their parking spaces when
someone is waiting? Researchers hung out in a parking lot and collected some data. The
graphs and numerical summaries display information about how long it took drivers to
exit their spaces.
a. Write a few sentences comparing these distributions.
b. Can we conclude that having someone waiting causes drivers to leave their spaces more
slowly? Why or why not?
Roulette An American roulette wheel has 38 slots with numbers throughand , as shown in the figure. Of the numbered slots, are red, are black, and —the and —are green. When the wheel is spun, a metal ball is dropped onto the middle of the wheel. If the wheel is balanced, the ball is equally likely to settle in any of the numbered slots. Imagine spinning a fair wheel once. Define events : ball lands in a black slot, and : ball lands in an even-numbered slot. (Treatand as even numbers.)
a. Make a two-way table that displays the sample space in terms of events and .
b. Find and.
c. Describe the event “and ” in words. Then find the probability of this event.
d. Explain why . Then use the general addition rule to compute .
Suppose that a student is randomly selected from a large high school. The probability
that the student is a senior is The probability that the student has a driver’s license
is . If the probability that the student is a senior or has a driver’s license is ,
what is the probability that the student is a senior and has a driver’s license?
Smartphone addiction? A media report claims that of U.S. teens with smartphones feel addicted to their devices. A skeptical researcher believes that this figure is too high. She decides to test the claim by taking a random sample of U.S. teens who have smartphones. Only of the teens in the sample feel addicted to their devices. Does this result give convincing evidence that the media report’s claim is too high? To find out, we want to perform a simulation to estimate the probability of getting or fewer teens who feel addicted to their devices in a random sample of size from a very large population of teens with smartphones in which 50% feel addicted to their devices.
Let = feels addicted and = doesn’t feel addicted. Use a random number generator to produce random integers from to . Record the number of ’s in the simulated random sample. Repeat this process many, many times. Find the percent of trials on which the number of ’s was or less.
In an effort to find the source of an outbreak of food poisoning at a conference, a team of medical detectives carried out a study. They examined all 50 people who had food poisoning and a random sample of 200 people attending the conference who didn’t get food poisoning. The detectives found that 40% of the people with food poisoning went to a cocktail party on the second night of the conference, while only 10% of the people in the random sample attended the same party. Which of the following statements is appropriate for describing the 40% of people who went to the party? (Let F = got food poisoning and A = attended party.)
a. P(F|A) = 0.40
b. P(A|FC) = 0.40
c. P(F|AC) = 0.40
d. P(AC|F) = 0.40
e. P(A|F) = 0.40
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