What formulas should be used in Exercise 3 when showing your work? I know how to calculate the z-score, but then what?

Exercise 3

Tall Fish Tales Inn serves fresh catfish fillets at their all-you-can-eat Friday fish fry. Catfish filets served at the Inn have weights that are normally distributed with mean = 6.3 oz. and standard deviation = 0.04 oz.

ACTIVITY SHEET: NORMAL DISTRIBUTION 5

(a) The Inn receives customer complaints for serving "tiny" filets, where tiny qualifies as a filet weighing less than 6.21 oz. Determine a tiny filet's zscore and the probability that a randomly selected customer will be served one. Construct a Minitab plot showing the desired probability.

(b) A waiter at the Inn has been serving all day and wants to leave for the evening with a good tip. He randomly selects filets in hopes of getting a jumbo one, where jumbo qualifies as a filet weighing more than 6.4 oz. Determine a jumbo filet's z-score and the probability that a randomly selected filet will turn out to be jumbo. Construct a Minitab plot showing the desired probability.

(c) Determine the filet weight at which only 5% of filets weigh less than it. Use the normal table and show your calculations. Construct a Minitab plot showing the desired weight.