Vehicles that pass through a certain checkpoint were counted every 10 second-intervals for aduration of one hour. The collected data are shown in the table below. Let X be the randomvariable denoting the number of vehicles that pass through the checkpoint every 10 secondsCount012Frequency 215 103 24312435162a. What is the expected value of the random variable X?b. If the random variable X follows a Poisson distribution, what is the theoretical Poissonfrequency?

a) From the given data, E(X)=(0×215)+(1×103)+(2×24)+(3×12)+(4×3)+(5×1)+(6×2)=216

Answered: Vehicles that pass through a certain…

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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