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Chapter 5: Q 108. (page 333)
BMI (5.2) Suppose we select two American young women in this age group at random. Find the probability that at least one of them is classified as underweight. Show your work.
P (at least one of two underweight) =
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Find and Which of these conditional probabilities tells you whether this college鈥檚 EPS students tend to earn lower grades than students in liberal arts and social sciences? Explain.
Probability models? In each of the following situations, state whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability. If not, give specific reasons for your answer.
(a) Roll a die and record the count of spots on the up-face: P(1) = 0, P(2) = 1/6, P(3) = 1/3, P(4) = 1/3,
P(5) = 1/6, P(6) = 0.
(b) Choose a college student at random and record gender and enrollment status: P(female full-time) = 0.56, P(male full-time) = 0.44, P(female part-time) = 0.24, P(male part-time) = 0.17.
(c) Deal a card from a shuffled deck: P(clubs) = 12/52, P(diamonds) = 12/52, P(hearts) = 12/52,
P(spades) = 16/52.
Playing cards Shuffle a standard deck of playing cards and deal one card. Define events : getting a jack, and : getting a red card.
(a) Construct a two-way table that describes the sample space in terms of events and .
(b) Find and .
(c) Describe the event 鈥� and 鈥� in words. Then find
(d) Explain why Then use the general addition rule to compute
The birthday problem What鈥檚 the probability that in a randomly selected group of unrelated people, at least two have the same birthday? Let鈥檚 make two
assumptions to simplify the problem. First, we鈥檒l ignore the possibility of a February birthday. Second, we assume that a randomly chosen person is equally likely to be born on each of the remaining days of the year.
(a) How would you use random digits to imitate one repetition of the process? What variable would you measure?
(b) Use technology to perform repetitions. Record the outcome of each repetition.
(c) Would you be surprised to learn that the theoretical probability is ? Why or why not?
Free downloads? Illegal music downloading has become a big problem: of Internet users download music files, and of downloaders say they
don鈥檛 care if the music is copyrighted.15 What percent of Internet users download music and don鈥檛 care if it鈥檚 copyrighted? Write the information given in terms of probabilities, and use the general multiplication rule.
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