Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatichopper car loader is set to put 71 tons of coal into each car. The actual weights of coal loaded into each car are normallydistributed, with mean u = 71 tons and standard deviation = 0.7 ton.USE SALT(a) What is the probability that one car chosen at random will have less than 70.5 tons of coal? (Round youranswer to four decimal places.)2375(b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 70.5 tons ofcoal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 70.5 tons. Would that fact make you suspect that theloader had slipped out of adjustment?YesNotSuppose the weight of coal in 29 cars selected at random had an average x of less than 70.5 tons. Would that factmake you suspect that the loader had slipped out of adjustment? Why?Yes, the probability that this deviation is random is very small.Yes, the probability that this deviation is random is very large.No, the probability that this deviation is random is very small.No, the probability that this deviation is random is very large.

It is given that Mean, μ = 71 Standard deviation, σ = 0.7

Answered: (a) What is the probability that one…

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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