An elevator has a placard stating that the maximum capacity is 1896 lb—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 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 33 lb.) Does the elevator appear to be safe?The probability the elevator is overloaded is [ ]. (Round to four decimal places as needed.)

Obtain the probability that the elevator is overloaded. The probability that the elevator is…

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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A particular fruit's weights are normally distributed, with a mean of 585 grams and a standard deviation of 18 grams.If you pick 15 fruits at random, then 17% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
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A ski lift states a maximum capacity is 12 people or 2004lb. A worst-case scenario would be 12 adult male passengers since they tend to be heavier verse women and children. Assume adult male weights are normally distributed with a mean of 188.6 lb and a standard deviation of 38.9 lb. A. If 12 men weighed exactly 2004 lb, what would be the average weight? B. Find the probability that a single man will have a weight greater than your result from A. C. Find the probability that a single man will have a weight greater than your result from A. Does the ski lift appear to have the correct weight limit from these results?
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