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Chapter 5: Q. 100. (page 336)
Checking independence Suppose C and D are two events such that
and Are events C and D independent? Justify your answer.
The required answer is No
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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.
If a player rolls a , it is called craps. What is the probability of getting craps or an even sum on one roll of the dice?
a.
b.
c.
d.
e.
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?
Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management Admission Test (GMAT) has collected the following information about its customers: are undergraduate students in business, are undergraduate students in other fields of study, and are college graduates who are currently employed. Choose a customer at random.
a. What must be the probability that the customer is a college graduate who is not currently employed? Why?
b. Find the probability that the customer is currently an undergraduate. Which probability rule did you use to find the answer?
c. Find the probability that the customer is not an undergraduate business student. Which probability rule did you use to find the answer?
Butter side down Refer to the preceding exercise. Maria decides to test this
probability and drops pieces of toast from a -foot table. Only of them land butter
side down. Maria wants to perform a simulation to estimate the probability that or
fewer pieces of toast out of would land butter side down if the researchers鈥�
probability value is correct.
a. Describe how you would use a table of random digits to perform the simulation.
b. Perform trials of the simulation using the random digits given. Copy the digits onto
your paper and mark directly on or above them so that someone can follow what you
did.
c. The dotplot displays the results of 50 simulated trials of dropping pieces of toast.
Is there convincing evidence that the researchers鈥� probability value is incorrect?
Explain your answer.
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