Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 91 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean �=91 tons and standard deviation �=4 ton.A) What is the probability that one car chosen at random will have less than 90.2 tons of coal? (Round your answer to four decimal places.)B) What is the probability that 25 cars chosen at random will have mean weight less than 90.2 tons of coal? (Round ��¯ to two decimal places and your answer to four decimal places.)C) What is the probability that 30 cars chosen at random will have mean weight less than 90.2 tons of coal? (Round ��¯ to two decimal places and your answer to four decimal places.) Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train.The automatic hopper car loader is set to put 91 tons of coal into each car. The actual weights of coal loadedinto each car are normally distributed, with mean μ = 91 tons and standard deviation o = 4 ton.A) What is the probability that one car chosen at random will have less than 90.2 tons of coal? (Round youranswer to four decimal places.)B) What is the probability that 25 cars chosen at random will have mean weight less than 90.2 tons of coal?(Round o to two decimal places and your answer to four decimal places.)C) What is the probability that 30 cars chosen at random will have mean weight less than 90.2 tons of coal?(Round o to two decimal places and your answer to four decimal places.)

From the provided information, Mean (µ) = 91 Standard deviation (σ) = 4 X~N (91, 4)

Answered: Coal is carried from a mine in West…

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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Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 91 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean �=91 tons and standard deviation �=4 ton.

A) What is the probability that one car chosen at random will have less than 90.2 tons of coal? (Round your answer to four decimal places.)

B) What is the probability that 25 cars chosen at random will have mean weight less than 90.2 tons of coal? (Round ��¯ to two decimal places and your answer to four decimal places.)

C) What is the probability that 30 cars chosen at random will have mean weight less than 90.2 tons of coal? (Round ��¯ to two decimal places and your answer to four decimal places.)