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Studies have shown that the average price for fish fry among all restaurants in Wisconsin is...

Studies have shown that the average price for fish fry among all restaurants in Wisconsin is normally distributed with mean $10.20 and a standard deviation of 3.

(a) If we take a random sample of 50 Wisconsin restaurants, what is the probability that the average price of fish fry in this sample is less than $9.50? Show your work.

(b) If we take a random sample of 35 Wisconsin restaurants, what is the probability that the average price of fish fry in this sample is between $9.20 and $11.00? Show your work.

(c) What is the probability that Lake Side Bistro’s fish fry is less than $13.50? Show your work.

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