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b) Let Zi σχ dy i) State, with parameter(s), the probability distribution of the statistic, T = ii) Find the mean and variance of the statistic T - ΣΤΟ WE =اك Στιζι √Σ,W² 10 21=121² iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. DIT BY 001 where T = ₁² + ₁² 10 Li=1

b) Let Zi σχ dy i) State, with parameter(s), the probability distribution of the statistic, T = ii) Find the mean and variance of the statistic T - ΣΤΟ WE =اك Στιζι √Σ,W² 10 21=121² iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. DIT BY 001 where T = ₁² + ₁² 10 Li=1

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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b) i) the moment generating function technique to find the probability distribution fun Write down the density function of Y. ii) the Central Limit Theorem to compute P(40 < Y < 80). iii) the Chebychev inequality to find the lower bound of P(40 < Y < 80). Let Z₁: _X₁-x~N (0,1), and Wį σχ : Y¡¯ªy ~N(0,1), for i = 1,2,3, ...,10, then: = dy i) State, with parameter(s), the probability distribution of the statistic, T = Σ14 4 121=1 W₁² ii) Find the mean and variance of the statistic T = a 10 2=121² iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. iv) Find the value of ß such that P(T> B) = 0.01, where T = QUESTION 2 Suppose that a sequence of mutually independent and identically distributed discrete rand variables X₁, X₂, X3, ..., X, has the following probability density function f(x: 0) = 10 Στο wi2 8e-9 x! 0. SM = Σi Z2 + Σiw?. for x = 0,1,2,... elsewhere 6°C
Transcribed Image Text:b) i) the moment generating function technique to find the probability distribution fun Write down the density function of Y. ii) the Central Limit Theorem to compute P(40 < Y < 80). iii) the Chebychev inequality to find the lower bound of P(40 < Y < 80). Let Z₁: _X₁-x~N (0,1), and Wį σχ : Y¡¯ªy ~N(0,1), for i = 1,2,3, ...,10, then: = dy i) State, with parameter(s), the probability distribution of the statistic, T = Σ14 4 121=1 W₁² ii) Find the mean and variance of the statistic T = a 10 2=121² iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. iv) Find the value of ß such that P(T> B) = 0.01, where T = QUESTION 2 Suppose that a sequence of mutually independent and identically distributed discrete rand variables X₁, X₂, X3, ..., X, has the following probability density function f(x: 0) = 10 Στο wi2 8e-9 x! 0. SM = Σi Z2 + Σiw?. for x = 0,1,2,... elsewhere 6°C
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