An elevator has a placard stating that the maximum capacity is 2460 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2460/15 164 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 164 lb. (Assume that weights of males are normally distributed with a mean of 173 lb and a standard deviation of 31 lb) Does this elevator appear to be safe? The probability the elevator is overloaded is 0.0823 (Round to four decimal places as needed )

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...
icon
Related questions
Topic Video
Question
Confused
An elevator has a placard stating that the maximum capacity is 2460 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to
2460/15 164 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
164 lb. (Assume that weights of males are normally distributed with a mean of 173 lb and a standard deviation of 31 lb.) Does this elevator appear to be safe?
The probability the elevator is overloaded is 0.0823
(Round to four decimal places as needed )
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 2460 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2460/15 164 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 164 lb. (Assume that weights of males are normally distributed with a mean of 173 lb and a standard deviation of 31 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is 0.0823 (Round to four decimal places as needed )
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON