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10% productivity. ber ofE bor put ar Auters

10% productivity. ber ofE bor put ar Auters

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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2:20 myopenmath.com – Private Each sweat shop worker at a computer factory can put together 4.2 computers per hour on average with a standard deviation of 0.8 computers. 43 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 4.2 0.8 V) o b. What is the distribution of x? a - N( 4.2 0.1220 С. c. What is the distribution of > x? ) x - N( 180.6 v. 5.2460 d. If one randomly selected worker is observed, find the probability that this worker will put together between 4 and 4.1 computers per hour. 0.049 e. For the 43 workers, find the probability that their average number of computers put together per hour is between 4 and 4.1. 0.1551 f. Find the probability that a 43 person shift will put together between 176.3 and 180.6 computers per hour. 0.2955 g. For part e) and f), is the assumption of normal necessary? No Yes o h. A sticker that says "Great Dedication" will be given to the groups of 43 workers who have the top 10% productivity. What is the least total number of computers produced by a group that receives a sticker? 0.8023 X minutes (round to the nearest computer)
Transcribed Image Text:2:20 myopenmath.com – Private Each sweat shop worker at a computer factory can put together 4.2 computers per hour on average with a standard deviation of 0.8 computers. 43 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 4.2 0.8 V) o b. What is the distribution of x? a - N( 4.2 0.1220 С. c. What is the distribution of > x? ) x - N( 180.6 v. 5.2460 d. If one randomly selected worker is observed, find the probability that this worker will put together between 4 and 4.1 computers per hour. 0.049 e. For the 43 workers, find the probability that their average number of computers put together per hour is between 4 and 4.1. 0.1551 f. Find the probability that a 43 person shift will put together between 176.3 and 180.6 computers per hour. 0.2955 g. For part e) and f), is the assumption of normal necessary? No Yes o h. A sticker that says "Great Dedication" will be given to the groups of 43 workers who have the top 10% productivity. What is the least total number of computers produced by a group that receives a sticker? 0.8023 X minutes (round to the nearest computer)
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