Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 0.9 computers. 45 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 ? a N c. What is the distribution of x? x N( 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 45 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 45 person shift will put together between 193.5 and 202.5 computers per hour. g. For part e) and f), is the assumption of normal necessary?O NoO Yes h. A sticker that says "Great Dedication" will be given to the groups of 45 workers who have the top 15% 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)

Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 0.9 computers. 45 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 ? a N c. What is the distribution of x? x N( 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 45 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 45 person shift will put together between 193.5 and 202.5 computers per hour. g. For part e) and f), is the assumption of normal necessary?O NoO Yes h. A sticker that says "Great Dedication" will be given to the groups of 45 workers who have the top 15% 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)

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a
standard deviation of 0.9 computers. 45 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 x? x - N(
c. What is the distribution of x?
N(
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 45 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 45 person shift will put together between 193.5 and 202.5 computers per
hour.
g. For part e) and f), is the assumption of normal necessary? O NoO Yes
h. A sticker that says "Great Dedication" will be given to the groups of 45 workers who have the top 15%
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)
int:
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