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Aski gondala carries skiers lo the top of a mauntain. Assume that weights af skiers are normally distributed with a mean of 186 b and a standard deviation of 39 Ib. The gondola has a staled capacity of 25 passengers, and the gondola is rated for a load limit of 3500 Ib. Complete parts (a) through (d) below. a. Glven that the gandole is raled fora load fimit of 3500 b, whal is the maximum mean weight of the passengers if the gondala is filed to the slated capacily of 25 passengers? The maximum mcan weight is 140 D. (Type an Intogor or a docimal. Do not round.) b. If the gondola is filed with 25 randomly selected sklers, what is the probability that their mean weight exceeds the value from parl (8)? The probability is 1. (Round to four decimal places as nooded.) c. If the weight assumplions were revised so that the new capacity became 20 passengers and the gondola is filed with 20 randamly selected skiers, what Is the probablity that their mean weight exceeds 175 ib, which is the maxdmum mean wolght that does not cause the total load to exceed 3500 b? The probablity is (Round to four decimal places as nceded.)

Aski gondala carries skiers lo the top of a mauntain. Assume that weights af skiers are normally distributed with a mean of 186 b and a standard deviation of 39 Ib. The gondola has a staled capacity of 25 passengers, and the gondola is rated for a load limit of 3500 Ib. Complete parts (a) through (d) below. a. Glven that the gandole is raled fora load fimit of 3500 b, whal is the maximum mean weight of the passengers if the gondala is filed to the slated capacily of 25 passengers? The maximum mcan weight is 140 D. (Type an Intogor or a docimal. Do not round.) b. If the gondola is filed with 25 randomly selected sklers, what is the probability that their mean weight exceeds the value from parl (8)? The probability is 1. (Round to four decimal places as nooded.) c. If the weight assumplions were revised so that the new capacity became 20 passengers and the gondola is filed with 20 randamly selected skiers, what Is the probablity that their mean weight exceeds 175 ib, which is the maxdmum mean wolght that does not cause the total load to exceed 3500 b? The probablity is (Round to four decimal places as nceded.)

MATLAB: An Introduction with Applications
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 ski gondala carries skiers lo the top of a mauntain, Assume that weights af skiers are nomally distributed witha mean of 186 Ib and a standard deviation of 39 Ib. The gondola has a staled capacity of 25 passengars, and the gondola is rated for a load limit of 3500 Ib. Complete parts (a) through (d) below. a, Given that the gondola is rated for a load fimit of 3500 whal is the maximum mean weight of the passengers If the gondola Is filled to the stated capacily of 25 passengers? The maximum moan weight is 140 lb. (Typo an Intogor or a docimal. Do not round.) b. If the gondola is filled with 25 randomly selected sklers, what is tho probablity that their mean woight exceeds the value from parl (8)? Tho probability is 1. (Round to four decimal placos as nooded.) c. If the weight assumplions were revised so that the new capacity becarme 20 passengers and the gondola Is filled with 20 randomly selected skiers, what ls the probablily that their mean weight excoeds 175 Ib, which Is tho maximum mean wolght that doos not cause the tolal load to oxcood 3500 Ib? The probability is. (Round to four decimal placos as needed.)
Transcribed Image Text:A ski gondala carries skiers lo the top of a mauntain, Assume that weights af skiers are nomally distributed witha mean of 186 Ib and a standard deviation of 39 Ib. The gondola has a staled capacity of 25 passengars, and the gondola is rated for a load limit of 3500 Ib. Complete parts (a) through (d) below. a, Given that the gondola is rated for a load fimit of 3500 whal is the maximum mean weight of the passengers If the gondola Is filled to the stated capacily of 25 passengers? The maximum moan weight is 140 lb. (Typo an Intogor or a docimal. Do not round.) b. If the gondola is filled with 25 randomly selected sklers, what is tho probablity that their mean woight exceeds the value from parl (8)? Tho probability is 1. (Round to four decimal placos as nooded.) c. If the weight assumplions were revised so that the new capacity becarme 20 passengers and the gondola Is filled with 20 randomly selected skiers, what ls the probablily that their mean weight excoeds 175 Ib, which Is tho maximum mean wolght that doos not cause the tolal load to oxcood 3500 Ib? The probability is. (Round to four decimal placos as needed.)
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