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Suppose the weights of king salmon are normally distributed with a mean of 35 pounds and...

Suppose the weights of king salmon are normally distributed with a mean of 35 pounds and a standard deviation of 4.25 pounds. A commercial fishing boat sells most of the kink salmon caught to local retail stores, sells some to a gourmet food processor, and donates low-weighing fish to Bean Café.

(a) What proportion of the king salmon weighs between 25 and 35 pounds?

(b) What is the probability that a king salmon weighs above 40 pounds?

(c) Above what weight will only 4% of the king salmon caught sold to the gourmet food

processor?

(d) Below what weight will only 0.3% of those fish caught donated to Bean Café?

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