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Chapter 5: Q 58. (page 311)
In a table of random digits such as Table D, each digit is equally likely to be any of or What is the probability that a digit in the
table is or greater? (a) (c) (e) (b) (d)
The correct option is (d) 3/10
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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.
Explain why . Then use the general addition rule to find.
During World War II, the British found that the probability that a bomber is lost through enemy action on a mission over occupied Europe was Assuming that missions are independent, find the probability that a bomber returned safely from missions.
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?
Languages in Canada Canada has two official languages, English and French. Choose a Canadian at random and ask, 鈥淲hat is your mother tongue?鈥�
Here is the distribution of responses, combining many separate languages from the broad Asia/Pacific region:Language: English French Asian/Pacific Other Probability: ?
(a) What probability should replace 鈥�?鈥� in the distribution? Why?
(b) What is the probability that a Canadian鈥檚 mother tongue is not English?
(c) What is the probability that a Canadian鈥檚 mother tongue is a language other than English or French?
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