The probability that a passenger's bag will be mishandled on a U.S. airline is .0046. During spring

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The probability that a passenger's bag will be mishandled on a U.S. airline is .0046. During spring break, suppose that 500 students y from Minnesota to various southern destinations.
(a) What is the expected number of mishandled bags?
(b) What is the approximate probability of no mishandled bags? More than two?
(c) Would you expect the approximation to be accurate (cite a rule of thumb)?
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