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