A traffic engineer is interested in the number of vehicles reaching a particular crossroads during periods of relatively low traffic flow. The engineer finds that the number of vehicles X reaching the crossroads per minute is governed by the probability distribution: XP(X=X)00.3710.39F(x) = Σ P(x = xi).xi Sx20.1930.04(a) Calculate the expected value, the variance and the standard deviation of the random variable X.(b) Graph the probability distribution P(X= x) and the corresponding cumulative probability distribution40.01

Let the X denote the number of vehicles reaching the crossroads per minute. The given probability…

X P(X = x) 0 0.37 1 0.39 2 0.19 3 0.04 (a) Calculate the expected value, the variance and the standard deviation of the random variable X. (b) Graph the probability distribution P(X = x) and the corresponding cumulative probability distribution F(x)=P(X= x₁). 4 0.01

X P(X = x) 0 0.37 1 0.39 2 0.19 3 0.04 (a) Calculate the expected value, the variance and the standard deviation of the random variable X. (b) Graph the probability distribution P(X = x) and the corresponding cumulative probability distribution F(x)=P(X= x₁). 4 0.01

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

A traffic engineer is interested in the number of vehicles reaching a particular crossroads during periods of relatively low traffic flow. The engineer finds that the number of vehicles X reaching the crossroads per minute is governed by the probability distribution:

X
P(X=X)
0
0.37
1
0.39
F(x) = Σ P(x = xi).
xi Sx
2
0.19
3
0.04
(a) Calculate the expected value, the variance and the standard deviation of the random variable X.
(b) Graph the probability distribution P(X= x) and the corresponding cumulative probability distribution
4
0.01

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