Suppose that the weights of the people in a certain office building are normally distributed, with a mean of 150 pounds and a standard deviation of 20 pounds. Suppose the elevator has a weightsensitive safety switch and will not move if the load exceeds 2,300 pounds. With a randomly selected group of 16 crams into the elevator at the close of business, what is the probability that the elevator will stop?

Suppose that the weights of the people in a certain office building are normally distributed, with a mean of 150 pounds and a standard deviation of 20 pounds. Suppose the elevator has a weightsensitive safety switch and will not move if the load exceeds 2,300 pounds. With a randomly selected group of 16 crams into the elevator at the close of business, what is the probability that the elevator will stop?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A semi-truck can transport a maximum of 14,950 pounds. Suppose that a load of cargo containing 115 boxes needs to be transported via this semi-truck. Research has shown that the weights of boxes for this type of cargo have a distribution that has a population mean weight of 125 pounds and a population standard deviation of 20 pounds. Based on this information, what is the probability that all 115 boxes can be safely loaded into the semi-truck and transported?
An elevator has a placard stating that the maximum capacity is 1630 lb—10 passengers. So,10 adult male passengers can have a mean weight of up to 1630/10=163 pounds.If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 163 lb. (Assume that weights of males are normally distributed with a mean of 170 lb and a standard deviation of 29 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is.
An elevator has a placard stating that the maximum capacity is 2430 lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2430/15=162 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 162 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 32 lb.) Does this elevator appear to be safe?
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 518. What is the probability that a sample of 40 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Sub Continue
Suppose the weight of turkeys in a store are normally distributed with mean 15.5 lb and standard deviation 2 lb. If a turkey is grabbed at random what is the probability that the weight will be less than 16 lb?
Suppose the demand for a company’s product in week 1,2, & 3 are each normally distributed. The means are 50, 45, and 65. The standard deviations are 10,5, and 15. Assume these 3 demands are probabilistically independent. Suppose the company has 180 units in stock, and it will not be receiving any more shipments from its supplier for at least 3 weeks. What is the probability that stock will run out during the 3 week period? How many units should the company have in stock, so that it can be 98% certain of not running out during the 3 week period , assuming it will not receive any more shipments during this period?