Answered: An elevator has a placard stating that…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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Question

An elevator has a placard stating that the maximum capacity is

1272

lb—8

passengers. So,

adult male passengers can have a mean weight of up to

1272/8=159 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

159

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

167 lb

and a standard deviation of

30 lb.)

Does this elevator appear to be safe?

Can you help me solve this with a TI 84? Im trying to use the "normalcdf" function

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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