The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 97.12 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 97.12 inches? (a) The probability is nothing. (Round to four decimal places as needed.) (b) The probability is nothing. (Round to four decimal places as needed.)

The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the...

The lengths of lumber a machine cuts are normally distributed with a mean of

inches and a standard deviation of

0.4

inch.

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

97.12

inches?

(b) A sample of

boards is randomly selected. What is the probability that their mean length is greater than

97.12

inches?

(a) The probability is

nothing.

(Round to four decimal places as needed.)

(b) The probability is

nothing.

(Round to four decimal places as needed.)

Jun 06, 2022