need help please, thank you! Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with astandard deviation of 1 computers. 49 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-Nb. What is the distribution of ? - Nc. What is the distribution of Σa? - NId. If one randomly selected worker is observed, find the probability that this worker will put togetherbetween 4.2 and 4.3 computers per hour.e. For the 49 workers, find the probability that their average number of computers put together perhour is between 4.2 and 4.3.f. Find the probability that a 49 person shift will put together between 210.7 and 220.5 computers perhour.g. For part e) and f), is the assumption of normal necessary? Yes Noh. A sticker that says "Great Dedication" will be given to the groups of 49 workers who have the top 20%productivity. What is the least total number of computers produced by a group that receives asticker?computers per hour (round to the nearest computer)

Answered: Each sweat shop worker at a computer…

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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need help please, thank you!

Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a
standard deviation of 1 computers. 49 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
b. What is the distribution of ? - N
c. What is the distribution of Σa? - N
I
d. If one randomly selected worker is observed, find the probability that this worker will put together
between 4.2 and 4.3 computers per hour.
e. For the 49 workers, find the probability that their average number of computers put together per
hour is between 4.2 and 4.3.
f. Find the probability that a 49 person shift will put together between 210.7 and 220.5 computers per
hour.
g. For part e) and f), is the assumption of normal necessary? Yes No
h. A sticker that says "Great Dedication" will be given to the groups of 49 workers who have the top 20%
productivity. What is the least total number of computers produced by a group that receives a
sticker?
computers per hour (round to the nearest computer)

Expert Solution

Step 1: Information given is

As per our guidelines we are supposed to answer only three subparts kindly post the remaining subparts in next post

Mean( $straight mu$ )=4.4

standard deviation( $straight sigma$ )=1

sample size(n)=49

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Please solution for part H

A sticker that says "Great Dedication" will be given to the groups of 49 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer)

Solution