The lengths of lumber a machine cuts are normally distributed with a mean of 88 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 88.17 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 88.17 inches? (a) The probability is. (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.)
The lengths of lumber a machine cuts are normally distributed with a mean of 88 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 88.17 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 88.17 inches? (a) The probability is. (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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The lengths of lumber a machine cuts are normally distributed with a mean of 88 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 88.17 inches?
(b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 88.17 inches?
(a) The probability is
(Round to four decimal places as needed.)
(b) The probability is:
(Round to four decimal places as needed.)
Enter your answer in each of the answer boxes.
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F711f47e8-9df7-4c90-b04e-c748690722bb%2F0a996c25-91da-45e6-b32e-9a9524adbdea%2F5fqx5ji_processed.png&w=3840&q=75)
Transcribed Image Text:Question Help
The lengths of lumber a machine cuts are normally distributed with a mean of 88 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 88.17 inches?
(b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 88.17 inches?
(a) The probability is
(Round to four decimal places as needed.)
(b) The probability is:
(Round to four decimal places as needed.)
Enter your answer in each of the answer boxes.
?
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