Answered: Coal is carried from a mine in West…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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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 61 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed with mean of 61 tons and standard deviation of 0.7 ton. A) what is the probability that one car chosen at random will have less than 60.5 tons of coal? B.) What is the probability that 46 cars chosen at random will have a mean load weight x of less than 60 . 5 tons of coal

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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