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Chapter 5: Q 58. (page 311)
In a table of random digits such as Table D, each digit is equally likely to be any of or What is the probability that a digit in the
table is or greater? (a) (c) (e) (b) (d)
The correct option is (d) 3/10
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Who eats breakfast? The two-way table describes the 595 students who responded to a school survey about eating breakfast. Suppose we select a student at random. Consider events B: eats breakfast regularly, and : is male.
(a) Find Explain what this value means.
(b) Find Explain what this value means.
Find P(L). Interpret this probability in context.
Liar, liar! Sometimes police use a lie detector (also known as a polygraph) 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 they鈥檙e actually telling the truth (a 鈥渇alse positive鈥�). Other times, the test says that the suspect is being truthful when the person is actually lying (a 鈥渇alse negative鈥�). For one brand of polygraph machine, the probability of a false positive is .
(a) Interpret this probability as a long-run relative frequency.
(b) Which is a more serious error in this case: a false positive or a false negative? Justify your answer.
Fill 鈥檈r up Refer to Exercise 83. Given that the customer paid with a credit card, find the probability that she bought premium gas.
Fill 鈥檈rr up! In a recent month, of automobile drivers filled their vehicles with regular gasoline, purchased midgrade gas, and bought premium gas. Of those who bought regular gas, paid with a credit card; of customers who bought midgrade and premium gas, and , respectively, paid with a credit card. Suppose we select a customer at random.
Draw a tree diagram to represent this situation. What鈥檚 the probability that the customer paid with a credit card? Use the four-step process to guide your work.
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