Answered: Suppose the Road Transport and Safety…

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 the Road Transport and Safety Agency (RTSA) officers have mounted a check point and they observe the speed at which the cars pass through that checkpoint.

Assume the speeds are normally distributed such that = 61 km per hour and = 4 km per hour.

(a) Calculate the probability that the next car that passes through the checkpoint will be traveling slower than 65 km per hour.

(b) Calculate the probability that the next car passing will be traveling more than 66 km per hour.

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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