Please look at question below and answer.

3. The number of nuts in a package of Nutty's Premium Cashews is normally distributed with mean of 432.4 nuts and 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 has at least 432 nuts? [2 marks] b) What is the probability that a package selected at random will fall within the acceptable quality control range. [3 marks] c) In a production run of 50 000 packages of nuts, how many can be expected to be rejected? [2 marks]