Answered: An elevator has a placard stating that…

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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Question

An elevator has a placard stating that the maximum capacity is

1896

lb—12

passengers. So,

adult male passengers can have a mean weight of up to

1896/12=158 pounds.

If the elevator is loaded with

adult male passengers, find the probability that it is overloaded because they have a mean weight greater than

158

lb. (Assume that weights of males are normally distributed with a mean of 165 lb

and a standard deviation of

25 lb.)

Does this elevator appear to be safe?

An elevator has a placard stating that the maximum capacity is 1896 Ib-12
passengers. So, 12 adult male passengers can have a mean weight of up to
1896 / 12 = 158 pounds. If the elevator is loaded with 12 adult male passengers,
find the probability that it is overloaded because they have a mean weight greater
than 158 Ib. (Assume that weights of males are normally distributed with a mean
of 165 Ib and a standard deviation of 25 Ib.) Does this elevator appear to be
safe?
The probability the elevator is overloaded is
(Round to four decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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