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There are two traffic lights on a commuter's route to and from work. Let X, be the number of lights at which the commuter must stop on his way to work, and X, be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X₁, X₂ is a random sample of size n - 2). #= 1.2, ² = 0.76 X1 0 p(x₂) 0.3 (a) Determine the pmf of TX₁ + X₂. 0 1 (b) Calculate HT = to p(t₂) (c) Calculate - ² 2= To 1 0.2 How does it relate to μ, the population mean? # STO To 2 0.5 2 3 How does it relate to o2, the population variance? 2 = 4

There are two traffic lights on a commuter's route to and from work. Let X, be the number of lights at which the commuter must stop on his way to work, and X, be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X₁, X₂ is a random sample of size n - 2). #= 1.2, ² = 0.76 X1 0 p(x₂) 0.3 (a) Determine the pmf of TX₁ + X₂. 0 1 (b) Calculate HT = to p(t₂) (c) Calculate - ² 2= To 1 0.2 How does it relate to μ, the population mean? # STO To 2 0.5 2 3 How does it relate to o2, the population variance? 2 = 4

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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There are two traffic lights on a commuter's route to and from work. Let X, be the number of lights at which the commuter must stop on his way to work, and X₂ be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X₁, X₂ is a random sample of size n = 2). # = 1.2, G² = 0.76 0 P(x₂) 0.3 (a) Determine the pmf of TX₁ + X₂- 0 1 to p(t) (b) Calculate T (c) Calculate o 1 0.2 How does it relate to μ, the population mean? HT= A 2 ٥٢٥ 2 0.5 2 3 How does it relate to o2, the population variance? 2= 4
Transcribed Image Text:There are two traffic lights on a commuter's route to and from work. Let X, be the number of lights at which the commuter must stop on his way to work, and X₂ be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X₁, X₂ is a random sample of size n = 2). # = 1.2, G² = 0.76 0 P(x₂) 0.3 (a) Determine the pmf of TX₁ + X₂- 0 1 to p(t) (b) Calculate T (c) Calculate o 1 0.2 How does it relate to μ, the population mean? HT= A 2 ٥٢٥ 2 0.5 2 3 How does it relate to o2, the population variance? 2= 4
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