SOLUTION: The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.3 inch.
(a) What is the probability that a randomly select
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(a) What is the probability that a randomly select
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Question 1167267: The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.3 inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 105.13 inches?
(b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 105.13 inches?
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! the first one is z>(105.13-105)/.3 and that is z>0.4333, or probability of 0.3324
the second one is z>(105.13-105)/.3/sqrt(37) or z>.13*sqrt(37)/.3, or probability of 0.0042
