Central Limit Theorem 2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that the maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult male passengers, since they tend to be heavier than women or children. Assume adult male weights are normally distributed with a mean of 188.6 lb. and 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 part (a). c.) Find the probability that 12 randomly selected men will have a weight greater than your results from part (a). d.) Does the gondola appear to have the correct weight limit? Why or why not?

Central Limit Theorem 2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that the maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult male passengers, since they tend to be heavier than women or children. Assume adult male weights are normally distributed with a mean of 188.6 lb. and 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 part (a). c.) Find the probability that 12 randomly selected men will have a weight greater than your results from part (a). d.) Does the gondola appear to have the correct weight limit? Why or why not?

Name: Central Limit Theorem2.) A ski gondola in Vail, Colorado that carries
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Description: Central Limit Theorem2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating thatthe maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult malepassengers, since they tend to be heavier

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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