MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:Each sweat shop worker at a computer factory can put together 4 computers per hour on average
with a standard deviation of 1 computers. 6 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
b. What is the distribution of ? T - N( 4
v 0.4082
c. What is the distribution of x? x - N( 24
d. If one randomly selected worker is observed, find the probability that this worker will put
together between 3.9 and 4.4 computers per hour.
2.4495
e. For the 6 workers, find the probability that their average number of computers put together
per hour is between 3.9 and 4.4.
f. Find the probability that a 6 person shift will put together between 23.4 and 27 computers per
hour.
g. For part e) and f), is the assumption of normal necessary? O YesO No
h. A sticker that says "Great Dedication" will be given to the groups of 6 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)
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