Answered: Suppose the Road Transport and Safety…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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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 check point.
Assume the speeds are normally distributed such that µ = 61 km per hour and σ = 4
km per hour.
(a) Calculate the probability that the next car that passes through the checkpoint will
be travelling slower than 65 km per hour.
(b) Calculate the probability that the next car passing will be travelling more than 66

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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