**Problem Statement:**The population of weights for men attending a local health club is normally distributed with a mean of 175 lbs and a standard deviation of 29 lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight exceeds 5984 lbs.**Questions:**1. **Determine Average Weight Limit:** - 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**2. **Probability of Exceeding Weight:** - 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.)3. **Probability of Elevator Overload:** - If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the elevator will be overloaded. - **P(elevator overloaded) = _____** - (Report answer accurate to 4 decimal places.)4. **Frequency of Overload:** - If the elevator is full (on average) 2 times a day, how many times will the elevator be overloaded in one (non-leap) year? - **Number of times overloaded = _____** - (Report answer rounded to the nearest whole number.)5. **Safety Concern Evaluation:** - Is there reason for concern? - ☐ yes, the current overload limit is not adequate to ensure the safety of the passengers - ☐ no, the current overload limit is adequate to ensure the safety of the passengersFor further assistance, please contact the instructor.**Note:** Submit your answers by clicking the "Submit Question" button.

Given Information: The population weights of men attending a health club is normally distributed…

The population of weights for men attending a local health club is normally distributed with a mean of 175-lbs and a standard deviation of 29-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 5984-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 = Ibs

The population of weights for men attending a local health club is normally distributed with a mean of 175-lbs and a standard deviation of 29-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 5984-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 = Ibs

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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