The problem presented involves determining the probability that an elevator surpasses its weight capacity based on the distribution of passengers' weights.**Problem Statement:**An elevator has a placard indicating that the maximum capacity is 2520 lb for 15 passengers. Therefore, the mean allowable weight per passenger is 2520 ÷ 15 = 168 pounds. You are required to find the probability that the elevator is overloaded if it is carrying 15 adult male passengers with a mean weight exceeding 168 lb. Assume that the weights of the males are normally distributed with a mean (μ) of 176 lb and a standard deviation (σ) of 27 lb.**Question:**Does this elevator appear to be safe?**Calculation:**1. Calculate the mean and standard deviation of the sample (15 passengers).2. Use the Z-score formula to find the probability of exceeding 168 lb.The section includes an answer box where users can input their answers, a button to check the answer, clear options, and navigation controls (“Previous” and “Next”).**Note:**- Round the probability to four decimal places.

Since the total area under the normal curve is 1. Therefore, the area to the left of z=-1.1476 under…

An elevator has a placard stating that the maximum capacity is 2520 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2520/15= 168 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 168 Ib. (Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 27 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.)

An elevator has a placard stating that the maximum capacity is 2520 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2520/15= 168 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 168 Ib. (Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 27 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.)

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The problem presented involves determining the probability that an elevator surpasses its weight capacity based on the distribution of passengers' weights.

**Problem Statement:**
An elevator has a placard indicating that the maximum capacity is 2520 lb for 15 passengers. Therefore, the mean allowable weight per passenger is 2520 ÷ 15 = 168 pounds. You are required to find the probability that the elevator is overloaded if it is carrying 15 adult male passengers with a mean weight exceeding 168 lb. Assume that the weights of the males are normally distributed with a mean (μ) of 176 lb and a standard deviation (σ) of 27 lb.

**Question:**
Does this elevator appear to be safe?

**Calculation:**
1. Calculate the mean and standard deviation of the sample (15 passengers).
2. Use the Z-score formula to find the probability of exceeding 168 lb.

The section includes an answer box where users can input their answers, a button to check the answer, clear options, and navigation controls (“Previous” and “Next”).

**Note:**
- Round the probability to four decimal places.

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