MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Estimation
A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.
Question

The population of weights for men attending a local health club is normally distributed with a mean of 174-lbs and a standard deviation of 31-lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight is in excess of 6112-lbs.

Assume that there are 32 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded?
average weight =  ? lbs

What is the probability that one randomly selected male health club member will exceed this weight?
P(one man exceeds) = 
(Report answer accurate to 4 decimal places.)

If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded?
P(elevator overloaded) = 
(Report answer accurate to 4 decimal places.)

If the evelator is full (on average) 3 times a day, how many times will the evelator be overloaded in one (non-leap) year?
number of times overloaded = 
(Report answer rounded to the nearest whole number.)

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