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The net weekly sales for a small business follows a normal distribution with a mean of...

The net weekly sales for a small business follows a normal distribution with a mean of 586 dollars and standard deviation of 115 dollars.

Calculate each of the following.

In each case, round your response to at least 4 decimal places.

a) What is the probability that in a randomly selected day, the business will do no more than 604 dollars in net sales?

b) Suppose 18 days are randomly selected. What is the probability that the average net sales the business will do is at least 566 dollars?

c) What is the probability that for 18 randomly selected days, the business will have a mean net sales between 571 dollars and 641 dollars?

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