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Name: Date: (Remember to show work, in order to receive full credit! If you run out of room, work out the problems on the back of this sheet.) Classify each variable listed as discrete or continuous. 1a. The volume inside a shoe box 1b. Number of dollar bills retrieved from a vending machine 1c. The attendance figure for a college bowl game Recently shoppers were asked how many gift certificates they've bought at the mall last year. The following results were tabulated: $\begin{array}{rcccccc}\text{ Gift certificates purchased }& 0& 1& 2& 3& 4& 5\text{ (or more) }\\ \text{ Percent of shoppers }& 41\%& 22\%& 14\%& 10\%& 8\%& 5\%\end{array}$ 2a. Find the mean (or expected) number of gift certificates a shopper buys at the mall. (Treat "5 (or more)" as if it's " 5 ".) 2b. What is the probability that a shopper selected at random bought more than two gift certificates? According to a public opinion poll, $60\%$ of a town's residents want their mayor impeached. A panel of five randomly selected residents will decide if she goes. 3a. Find the mean and standard deviation for this panel. 3b. Find the probability that all five vote to impeach. 3c. Find the probability that a majority of the panel will vote to impeach. Formulas Expected value: Mean (binomial case): Standard deviation (binomial case): $\mu =np\sigma \overline{npq}$

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Updated on: Feb 1, 2023