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Chapter 4: Problem 19
Which of the following values cannot be the probability of an event and why? $$ \begin{array}{llllllll} 2.4 & 3 / 8 & -.63 & .55 & 9 / 4 & -2 / 9 & 1.0 & 12 / 17 \end{array} $$
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A ski patrol unit has nine members available for duty, and two of them are to be sent to rescue an injured skier. In how many ways can two of these nine members be selected? Now suppose the order of selection is important. How many arrangements are possible in this case?
In a class of 35 students, 13 are seniors, 9 are juniors, 8 are sophomores, and 5 are freshmen. If one student is selected at random from this class, what is the probability that this student is a. a junior? b. a freshman?
The probability that a randomly selected elementary or secondary school teacher from a city is a female is .68, holds a second job is .38, and is a female and holds a second job is .29. Find the probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job.
Given that \(P(B \mid A)=.70\) and \(P(A\) and \(B)=.35\), find \(P(A)\).
As mentioned in Exercise \(4.52\), a July 21 survey on www.HuffingtonPost.com asked people to choose their favorite junk food from a list of choices. Although the results were not broken down by gender, suppose that the following table represents the results for the 8002 people who responded, assuming that there were 4801 females and 3201 males included in the survey. $$ \begin{array}{lcc} \hline \text { Favorite Junk Food } & \text { Female } & \text { Male } \\ \hline \text { Chocolate } & 1518 & 531 \\ \text { Sugary candy } & 218 & 127 \\ \text { Ice cream } & 685 & 586 \\ \text { Fast food } & 312 & 463 \\ \text { Cookies } & 431 & 219 \\ \text { Chips } & 458 & 649 \\ \text { Cake } & 387 & 103 \\ \text { Pizza } & 792 & 523 \\ \hline \end{array} $$ Suppose that one person is selected at random from this sample of 8002 respondents. Find the following probabilities. a. Probability of the union of events female and chocolate. b. Probability of the union of events male and cake.
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