Sam works at the JJ Electronics Factory. JJ produces the A23 electronic component. The length, X, of an A23, is normally distributed with a meanμ = 10 centimeters and a standard deviation o = 0.53 centimeters. Sam randomly selects 20 A23 components from the production line for quality control purposes and measures their lengths. Let M be the sample mean length of the measured A23 components. Let S be the total length of the measured A23 components. (i.e. sum of the 20 lengths. a) What is the probability that X < 10.5? .6915 b) What is the probability that X > 10.5? .3085 c) What is the probability that all of the 20 measurements are less than 11? .0171 d) What is the expected value of S? 200 e) What is the standard deviation of S? 2.37 f) What is the probability that S-200 >2? 1.99 g) What is the standard deviation of S-200 2.37 h) What is the expected value of M? 10 i) What is the standard deviation of M? .1187 j) What is the probability that M >10.1? .199 k) What is the standard deviation of 9M? 1.068 I) If the probability of X >k is equal to .8, then what is k? 10.446

Sam works at the JJ Electronics Factory. JJ produces the A23 electronic component. The length, X, of an A23, is normally distributed with a meanμ = 10 centimeters and a standard deviation o = 0.53 centimeters. Sam randomly selects 20 A23 components from the production line for quality control purposes and measures their lengths. Let M be the sample mean length of the measured A23 components. Let S be the total length of the measured A23 components. (i.e. sum of the 20 lengths. a) What is the probability that X < 10.5? .6915 b) What is the probability that X > 10.5? .3085 c) What is the probability that all of the 20 measurements are less than 11? .0171 d) What is the expected value of S? 200 e) What is the standard deviation of S? 2.37 f) What is the probability that S-200 >2? 1.99 g) What is the standard deviation of S-200 2.37 h) What is the expected value of M? 10 i) What is the standard deviation of M? .1187 j) What is the probability that M >10.1? .199 k) What is the standard deviation of 9M? 1.068 I) If the probability of X >k is equal to .8, then what is k? 10.446

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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Question

Please answer all questions and show work

Sam works at the JJ Electronics Factory. JJ produces the A23 electronic component. The length, X, of an A23, is normally distributed with a mean μ = 10 centimeters and a standard deviation o =
0.53 centimeters. Sam randomly selects 20 A23 components from the production line for quality control purposes and measures their lengths. Let M be the sample mean length of the measured A23
components. Let S be the total length of the measured A23 components. (i.e. sum of the 20 lengths.
a) What is the probability that X < 10.5? .6915
b) What is the probability that X > 10.5? .3085
c) What is the probability that all of the 20 measurements are less than 11? .0171
d) What is the expected value of S? 200
e) What is the standard deviation of S? 2.37
f) What is the probability that S-200 >2? 1.99
g) What is the standard deviation of S-200 2.37
h) What is the expected value of M? 10
i) What is the standard deviation of M? .1187
j) What is the probability that M >10.1? .199
k) What is the standard deviation of 9M? 1.068
1) If the probability of X >k is equal to .8, then what is k? 10.446

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i do not understand where 10.57 came from. 10.5 =X. I am looking to figure out question a). i have come to 3 different answers for this first part.
a).692, .82726 and now .8589. please assist

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