A lift is designed with a load limit of 800 kg. It claims a capacity of 8 people. If the weights of all people using the lift are normally distributed with a mean of 75 kg and a standard deviation of 10 kg, what is the probability that a group of 8 persons will exceed the load limit? What is the probability that a sample mean weight will be within +-5kg of the population mean weight?

A lift is designed with a load limit of 800 kg. It claims a capacity of 8 people. If the weights of all people using the lift are normally distributed with a mean of 75 kg and a standard deviation of 10 kg, what is the probability that a group of 8 persons will exceed the load limit? What is the probability that a sample mean weight will be within +-5kg of the population mean weight?

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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