please explain how you got the answer and show work.

3. The number of nuts in a package of Patty's v 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? [4marks] mm a production run of 50 000 packages of nuts, how many can be expected to be rejected? [1 mark]