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Name: A ski gondola carries skiers to the top of a mountain. Assume that wei
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Description: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 183lb and a standard deviation of 35 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a

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 gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 183lb and a standard deviation of 35 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of3500 lb. Complete parts (a) through (d) below.

a. Given that the gondola is rated for a load limit of 3500lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers?

The maximum mean weight is _____lb.

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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