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a) From a long period of observation, the average numbers of cars passing through a junction from 10:00 AM to 11:00AM are listed in Table 1-1. i) Table 1-1 Day 1 Day 2 Day 3 Day 4 Day Day 5 5 55 108 96 108 156 Day 6 Day 6 120 80 Day 7 Determine the ratio distribution function using the piecewise-linear method.

a) From a long period of observation, the average numbers of cars passing through a junction from 10:00 AM to 11:00AM are listed in Table 1-1. i) Table 1-1 Day 1 Day 2 Day 3 Day 4 Day Day 5 5 55 108 96 108 156 Day 6 Day 6 120 80 Day 7 Determine the ratio distribution function using the piecewise-linear method.

Algebra & Trigonometry with Analytic Geometry
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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a) From a long period of observation, the average numbers of cars passing through a junction from 10:00 AM to 11:00AM are listed in Table 1-1. i) Day 1 Day 2 55 108 96 n Table 1-1 Day 3 Day 4 Day 4 Day 5 Day 6 108 156 120 0, Determine the ratio distribution function using the piecewise-linear method. ii) Design an algorithm to simulate the random process. Note that the distribution function to fit a data set can be obtained by: F(x) Day 7 80 x-xi + 1 (n − 1)(Xi+1 − Xi) 1, x < x ₁; X₁ ≤ x ≤ X₁+1, for i = 1,..., n - 1; xzXn. where F(x) is the distribution function, x₁, i = 1, 2, ..., n are samples.
Transcribed Image Text:a) From a long period of observation, the average numbers of cars passing through a junction from 10:00 AM to 11:00AM are listed in Table 1-1. i) Day 1 Day 2 55 108 96 n Table 1-1 Day 3 Day 4 Day 4 Day 5 Day 6 108 156 120 0, Determine the ratio distribution function using the piecewise-linear method. ii) Design an algorithm to simulate the random process. Note that the distribution function to fit a data set can be obtained by: F(x) Day 7 80 x-xi + 1 (n − 1)(Xi+1 − Xi) 1, x < x ₁; X₁ ≤ x ≤ X₁+1, for i = 1,..., n - 1; xzXn. where F(x) is the distribution function, x₁, i = 1, 2, ..., n are samples.
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