Question: Full grown emperor penguins are normally distributed with an average height of 44 inches. By using a sample, it is found that sample standard deviation

Full grown emperor penguins are normally distributed with an average height of 44 inches. By using a sample, it is found that sample standard deviation of height is 8.5 inches.

(a) Given a local zoo has 71 emperor penguins, what is the probability that their average height is more than 45 inches?

(b) If we randomly choose one of the zoo's penguins, what is the probability that it will be between 36 and 60 inches tall?

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