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
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman