A lumber yard produces logs that have a label length of 20.4 feet. Let X be the length of a randomly selected log from the lumber yard. It is known that X~N(µ= 21.37,02 = 0.16) a. Find the probability that a randomly selected log is longer than 22.07 feet. b. The lumber yard is troubled about some logs being too short. Because of this, the lumber yard will not sell logs that are 1.5 standard deviations smaller than the mean. In a pile of 2000 logs, how many logs can we expect not to be sold? The lumber yard decides they wants to remove both extremes from their selling pile (too long and too short). If the lumber yard wants to remove logs whose length is in the top 10% or bottom 10%, find the cutoffs. с.
A lumber yard produces logs that have a label length of 20.4 feet. Let X be the length of a randomly selected log from the lumber yard. It is known that X~N(µ= 21.37,02 = 0.16) a. Find the probability that a randomly selected log is longer than 22.07 feet. b. The lumber yard is troubled about some logs being too short. Because of this, the lumber yard will not sell logs that are 1.5 standard deviations smaller than the mean. In a pile of 2000 logs, how many logs can we expect not to be sold? The lumber yard decides they wants to remove both extremes from their selling pile (too long and too short). If the lumber yard wants to remove logs whose length is in the top 10% or bottom 10%, find the cutoffs. с.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A lumber yard produces logs that have a label length of 20.4 feet. Let X be the length of a
randomly selected log from the lumber yard. It is known that X~N(µ= 21.37,02 = 0.16)
a. Find the probability that a randomly selected log is longer than 22.07 feet.
b. The lumber yard is troubled about some logs being too short. Because of this, the
lumber yard will not sell logs that are 1.5 standard deviations smaller than the
mean. In a pile of 2000 logs, how many logs can we expect not to be sold?
The lumber yard decides they wants to remove both extremes from their selling
pile (too long and too short). If the lumber yard wants to remove logs whose
length is in the top 10% or bottom 10%, find the cutoffs.
с.
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