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The weight of a randomly selected nickel is a random variable thathas a normal distribution mean 5 grams and standard deviation 0.06gram. Call this random variable X. A vending machine is designed toreject all coins with weights more than two standard deviationsabove or below the mean.

(a) Find the probability that a randomly selected nickel isrejected by the machine.

(b) Find X0such that P(5 - X0X5 + X0) = 0.8

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