Generate 5 psuedo-random U[0, 1] numbers using the linear congruential generator X₁+1 = (8X₁ + 3)mod?, triangular (1,3,5) Xo = 1. Use these numbers to generate 5 observations from the random variable Y F(u) = ܐ (y-1)² 8 12 for y < 1 for 1 ≤ y ≤ 3 ~

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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Generate 5 psuedo-random U[0, 1] numbers using the linear congruential generator X₁+1 = (8X₁ + 3)mod7,
Xo = 1. Use these numbers to generate 5 observations from the random variable Y~ triangular (1, 3, 5)
F(y) =
0
(y-1)²
8
1- (y-5) ²
for y < 1
for 1 ≤ y ≤ 3
for 3 ≤ y ≤ 5
for 5 y
Transcribed Image Text:Generate 5 psuedo-random U[0, 1] numbers using the linear congruential generator X₁+1 = (8X₁ + 3)mod7, Xo = 1. Use these numbers to generate 5 observations from the random variable Y~ triangular (1, 3, 5) F(y) = 0 (y-1)² 8 1- (y-5) ² for y < 1 for 1 ≤ y ≤ 3 for 3 ≤ y ≤ 5 for 5 y
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