Chapter 5: Q. T5.8 (page 357)
In a class, there are girls and boys. If the teacher selects two students at random
to attend a party with the principal, what is the probability that the two students are the
same sex?
The correct option is:
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Gender and political party In January, of U.S. senators were Republicans and
the rest were Democrats or Independents. Twenty-one percent of the senators were
females, and of the senators were male Republicans. Suppose we select one of these
senators at random. Define events R: is a Republican and M: is male.
a. Find P(R ∪ M). Interpret this value in context.
b. Consider the event that the randomly selected senator is a female Democrat or
Independent. Write this event in symbolic form and find its probability.
Which of the following is a correct way to perform the simulation?
a. Let integers from represent making a free throw and represent missing a free throw. Generate random integers from. Count the number
of made free throws. Repeat this process many times.
b. Let integers from represent making a free throw and represent missing a free throw. Generate 50 random integers from 1 to 50 with no repeats
allowed. Count the number of made free throws. Repeat this process many times.
c. Let integers fromrepresent making a free throw and represent missing a free throw. Generate 50 random integers fromCount the number of made free throws. Repeat this process many times.
d. Let integers from localid="1653986588937" represent making a free throw and localid="1653986593808" represent missing a free throw. Generate 50 random integers from localid="1653986598680" with no repeats allowed. Count the number of made free throws. Repeat this process many times.
e. None of the above is correct.
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.
Does the new hire use drugs? Many employers require prospective employees to
take a drug test. A positive result on this test suggests that the prospective employee uses
illegal drugs. However, not all people who test positive use illegal drugs. The test result
could be a false positive. A negative test result could be a false negative if the person
really does use illegal drugs. Suppose that of prospective employees use drugs and
that the drug test has a false positive rate of and a false negative rate of.
Imagine choosing a prospective employee at random.
a. Draw a tree diagram to model this chance process.
b. Find the probability that the drug test result is positive.
c. If the prospective employee’s drug test result is positive, find the probability that she
or he uses illegal drugs.
Ten percent of U.S. households contain or more people. You want to simulate choosing a household at random and recording “Yes” 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
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