Answered: What is the probability that the fuel…

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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Suppose that fuel efficiency (in miles per gallon, mpg) for a particular car model under certain conditions is normally distributed with a mean of 28.0 mpg with a standard deviation of 1.2 mpg. What is the probability that the fuel efficiency for a randomly selected car of this model is between 27 mpg and 31 mpg ?

Convert 31 mpg to a Z SCORE and use it to find the corresponding probability value. Round your answer to the 4th decimal place: __________

Convert 27 mpg to a Z SCORE and use it to find the corresponding probability value. Round your answer to the 4th decimal place:___________

Use the two probabilities to answer the question: What is the probability that the fuel efficiency for a randomly selected car of this model is between 27 mpg and 31 mpg ? Round your answer to the 4th decimal place: _______

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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