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Chapter 5: Q 1.3. Solving Equations Using a Graphing Utility (page 303)
If is the event that the person chosen has normal cholesterol (below 200 mg/dl), what鈥檚 P(C)?
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Sampling senators The two-way table describes the members of the U.S. Senate in a recent year. Suppose we select a senator at random. Consider events D: is a democrat, and F: is female.
(a) Find P(D | F). Explain what this value means.
(b) Find P(F | D). Explain what this value means.
Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management The admission Test (GMAT) has the following information about its customers: are currently undergraduate students in business; are undergraduate students in other fields of study; are
college graduates who are currently employed, and are college graduates who are not employed. Choose a customer at random.
(a) What鈥檚 the probability that the customer is currently an undergraduate? Which rule of probability did you use to find the answer?
(b) What鈥檚 the probability that the customer is not an undergraduate business student? Which rule of probability did you use to find the answer?
Lotto In the United Kingdom鈥檚 Lotto game, a player picks six numbers from 1 to 49 for each ticket. Rosemary bought one ticket for herself and one for each of her four adult children. She had the lottery computer randomly select the six numbers on each ticket. When the six winning numbers were drawn, Rosemary was surprised to find that none of these numbers appeared on any of the five Lotto tickets she had bought. Should she be? Design and carry
out a simulation to answer this question. Follow the four-step process.
Due to a hit, A very good professional baseball player gets a hit about of the time over an entire season. After the player failed to hit safely in six straight at-bats, a TV commentator said, 鈥淗e is due for a hit by the law of averages.鈥� Is that right? Why?
Treating low bone density (4.2) Fractures of the spine are common and serious among women with advanced osteoporosis (low mineral density in the
bones). Can taking strontium ranelate help? A large medical trial assigned 1649 women to take either strontium ranelate or a placebo each day. All of
the subjects had osteoporosis and had had at least one fracture. All were taking calcium supplements and receiving standard medical care. The response variables were measurements of bone density and counts of new fractures over three years. The subjects were treated at medical centers in different countries. Outline an appropriate design for this experiment. Explain why this is the proper design.
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