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Chapter 5: Q 76. (page 330)
Rolling dice Suppose you roll two fair, six-sided dice鈥攐ne red and one green. Are the events 鈥渟um is 8鈥� and 鈥済reen die shows a 4鈥� independent? Justify
your answer.
Yes, not independent.
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Universal blood donors People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only , of the American population have O-negative blood. If people appear at random to give blood, what is the probability that at least of them is a universal donor? Follow the four-step process.
Sampling senators Refer to Exercise 67. Are events D and F independent? Justify your answer.
Income tax returns Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns
in a recent year:
(a) What is the probability that a randomly chosen return shows an adjusted gross income of or more?
(b) Given that a return shows an income of at least what is the conditional probability that the income is at least
Sampling senators The two-way table below describes the members of the U.S Senate in a recent year. Male Female Democrats Republicans
(a) Who are the individuals? What variables are being measured?
(b) If we select a U.S. senator at random, what鈥檚 the probability that we choose
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?
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