The number of nuts in a package of Pattys Premium peanuts is normally distributed with a mean of 432.4 nuts and a standard deviation of 5.8 nuts. Packages with fewer than 420 nuts or more than 445 nuts will be rejected by quality control.

a)What is the probability that a package selected at random will fall within the acceptable quality control range?

b) in a production run of 50 000 packages of nuts, how many can be expected to be rejected?

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