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A contractor is considering a project that promises a profit of $13,894 with a probability of 0.62. The contractor would lose (due to bad weather,

  1. A contractor is considering a project that promises a profit of $13,894 with a probability of 0.62. The contractor would lose (due to bad weather, strikes, and such) of $3,304 if the project fails. What is the expected profit? Round to the nearest cent.

  1. An archer is able to hit the bull's-eye 55% of the time. If she shoots 10 arrows, what is the probability that she gets exactly 5 bull's-eyes? Assume each shot is independent of the others. Express your answer as a percentage rounded to the nearest hundredth without the % sign.

  1. Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant / A / B / C / D Order Accurate / 1 / 5 / 17 / 17 Order Not Accurate / 6 / 14 / 29 / 29 

If three different orders are selected, find the probability that they are all from restaurant B. Assume that the orders are selected without replacement. Express your answer as a percentage rounded to the nearest hundredth without the % sign.

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