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Chapter 5: Q 94. (page 331)
Late flights An airline reports that 85% of its flights arrive on time. To find the probability that its next four flights into LaGuardia Airport all arrive on time, can
we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?
No.
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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.
Waiting to park (1.3) Do drivers take longer to leave their parking spaces when someone is waiting? Researchers hung out in a parking lot and collected
some data. The graphs and numerical summaries below display information about how long it took drivers to exit their sp\aces.
(a) Write a few sentences comparing these distributions.
(b) Can we conclude that having someone waiting causes drivers to leave their spaces more slowly? Why or why not?
Get rich Refer to Exercise 63.
(a) Find P(鈥渁 good chance鈥� | female).
(b) Find P(鈥渁 good chance鈥�).
(c) Use your answers to (a) and (b) to determine whether the events 鈥渁 good chance鈥� and 鈥渇emale鈥� are
independent. Explain your reasoning.
Medical risks Morris鈥檚 kidneys are failing, and he is awaiting a kidney transplant. His doctor gives him this information for patients in his condition: 90% survive the transplant and 10% die. The transplant succeeds in 60% of those who survive, and the other 40% must return to kidney dialysis. The proportions who survive five years are 70% for those with a new kidney and
50% for those who return to dialysis.
(a) Make a tree diagram to represent this setting.
(b) Find the probability that Morris will survive for five years. Show your work.
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
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