Answered: Vehicle speed on a particular bridge in…

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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Question

Vehicle speed on a particular bridge in China can be
modeled as normally distributed (“Fatigue Reliability
Assessment for LongSpan
Bridges under Combined
Dynamic Loads from Winds and Vehicles,” J. of
Bridge Engr., 2013: 735–747).
a. If 5% of all vehicles travel less than 39.12 m/h and
10% travel more than 73.24 m/h, what are the mean
and standard deviation of vehicle speed? [Note: The
resulting values should agree with those given in the
cited article.]
b. What is the probability that a randomly selected vehicle’s
speed is between 50 and 65 m/h?
c. What is the probability that a randomly selected vehicle’s
speed exceeds the speed limit of 70 m/h?

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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