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Chapter 5: Q 85. (page 331)
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.
The probability that she bought premium gas is
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If is the event that the person chosen has normal cholesterol (below 200 mg/dl), what鈥檚 P(C)?
Mac or PC? A recent census at a major university revealed that of its students primarily used Macintosh computers (Macs). The rest mainly used
PCs. At the time of the census, of the school鈥檚 students were undergraduates. The rest were graduate students. In the census, of respondents were graduate students who said that they used PCs as their
main computers. Suppose we select a student at random from among those who were part of the census.
(a) Assuming that there were students in the census, make a two-way table for this chance process.
(b) Construct a Venn diagram to represent this setting.
(c) Consider the event that the randomly selected student is a graduate student who uses a Mac. Write this event in symbolic form using the two events of interest that you chose in (b).
(d) Find the probability of the event described in (c). Explain your method.
You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about This means that (a) in every bridge deals, each player has one ace exactly times.
(b) in one million bridge deals, the number of deals on which each player has one ace will be exactly
(c) in a very large number of bridge deals, the percent of deals on which each player has one ace will be very close to
(d) in a very large number of bridge deals, the average number of aces in a hand will be very close to
(e) None of these
A Titanic disaster In the luxury liner Titanic, on its first voyage across the Atlantic, struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who lived and who died, by class of travel. Suppose we choose an adult passenger at random.
(a) Given that the person selected was in first class, what鈥檚 the probability that he or she survived?
(b) If the person selected survived, what鈥檚 the probability that he or she was a third-class passenger?
Myspace versus Facebook A recent survey suggests that of college students have posted a profile on Facebook, use Myspace regularly, and do both. Suppose we select a college student at random and learn that the student has a profile on Facebook. Find the probability that the student uses Myspace regularly. Show your work.
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