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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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Liar, liar! Sometimes police use a lie detector test to help determine whether a suspect is
telling the truth. A lie detector test isn鈥檛 foolproof鈥攕ometimes it suggests that a person is
lying when he or she is actually telling the truth (a 鈥渇alse positive鈥�). Other times, the test
says that the suspect is being truthful when he or she is actually lying (a 鈥渇alse negative鈥�).
For one brand of lie detector, the probability of a false positive is 0.08.
a. Explain what this probability means.
b. Which is a more serious error in this case: a false positive or a false negative? Justify
your answer.
Superpowers A random sample of children from England and the United States who completed a survey in a recent year was selected. Each student鈥檚 country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the two-way table.
Suppose we randomly select one of these students. Define events E: England, T: telepathy,
and S: superstrength.
a. Find . Interpret this value in context.
b. Given that the student did not choose superstrength, what鈥檚 the probability that this child is from England is ? Write your answer as a probability statement using correct symbols for the events.
Tall people and basketball players Select an adult at random. Define events T: person is over feet tall, and
B: person is a professional basketball player. Rank the following probabilities from smallest to largest. Justify your answer.
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鈥檚 license
is . If the probability that the student is a senior or has a driver鈥檚 license is ,
what is the probability that the student is a senior and has a driver鈥檚 license?
Who鈥檚 paying? Abigail, Bobby, Carlos, DeAnna, and Emily go to the bagel shop for lunch every Thursday. Each time, they randomly pick of the group to pay for lunch by drawing names from a hat.
a. Give a probability model for this chance process.
b. Find the probability that Carlos or DeAnna (or both) ends up paying for lunch.
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