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The lengths of metal strips are normally distributed with a mean of 120 cm and a standard deviation of 10 cm. Find the probability that a strip selected at random has a length a) Greater than 105 cm, P(X> 105). b) Within 5 cm of the mean, P(115 < X < 125). c) Strips that are shorter than L cm are rejected. Estimate the value of L, correct to one decimal place, if 9% of all strips are rejected. (P(X

The lengths of metal strips are normally distributed with a mean of 120 cm and a standard deviation of 10 cm. Find the probability that a strip selected at random has a length a) Greater than 105 cm, P(X> 105). b) Within 5 cm of the mean, P(115 < X < 125). c) Strips that are shorter than L cm are rejected. Estimate the value of L, correct to one decimal place, if 9% of all strips are rejected. (P(X

MATLAB: An Introduction with Applications
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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The lengths of metal strips are normally distributed with a mean of 120 cm and a standard deviation of 10 cm. Find the probability that a strip selected at random has a length a) Greater than 105 cm, P(X> 105). b) Within 5 cm of the mean, P(115 < X < 125). c) Strips that are shorter than L cm are rejected. Estimate the value of L, correct to one decimal place, if 9% of all strips are rejected. (P(X<L) = 0.09)
Transcribed Image Text:The lengths of metal strips are normally distributed with a mean of 120 cm and a standard deviation of 10 cm. Find the probability that a strip selected at random has a length a) Greater than 105 cm, P(X> 105). b) Within 5 cm of the mean, P(115 < X < 125). c) Strips that are shorter than L cm are rejected. Estimate the value of L, correct to one decimal place, if 9% of all strips are rejected. (P(X<L) = 0.09)
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