Question: This is a two part question. See below: =) 1.) The lengths of lumber a machine cuts are normally distributed with a mean of 93

This is a two part question. See below: =)

1.) The lengths of lumber a machine cuts are normally distributed with a mean of 93 inches and a standard deviation of 0.6 inch.

(a) What is the probability that a randomly selected board cut by the machine has a length greater than 93.22 inches?

(b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 93.22 inches?

Answers:

(a) The probability is _____?_____.

(Round to four decimal places asneeded.)

(b) ______?_______

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