The weight of adult male grizzly bears living in the wild continental United States is normally distributed with a mean of 500 pounds and a standard deviation of 50 pounds. The weight of adult female grizzly bear is normally distributed with a mean of 300 pounds and standard deviation of 40 pounds.

a.) What is the probability that a randomly selected female grizzly bear weights between 275 and 350 pounds? Make sure to find all appropriate z-scores.

b.) Approximately what would the weight of a male grizzly bear be with the same standardized score (z-score) as a female grizzly bear with a weight of 330 pounds?

c. ) Is a male grizzly bear weighing 420 pounds unusual? Justify your answer.

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