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Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter 0 > 0 is defined by F(x; 0) = 1-ei, x>0 i) What is the expected value of X, E (X)? ii) What is the variance of X,V(X)?

Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter 0 > 0 is defined by F(x; 0) = 1-ei, x>0 i) What is the expected value of X, E (X)? ii) What is the variance of X,V(X)?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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a) Many SSTA021 students came to the lecturer's office to consult prior to the test about what was taught during lectures. The lecturer, is very concerned that some of her students have not been attending SSTA021 lessons and wanted to check among her students, who have been attending and who was not. As a result, he asked them to solve by deriving the following question in order to check those who have been attending. 1| Page Suppose that the Cumulative distribution function (CDF) of the random variable x with parameter 0 > 0 is defined by F(x; 0) = 1 – e, x>0 i) What is the expected value of X, E (X)? ii) What is the variance of X,V(X)?
Transcribed Image Text:a) Many SSTA021 students came to the lecturer's office to consult prior to the test about what was taught during lectures. The lecturer, is very concerned that some of her students have not been attending SSTA021 lessons and wanted to check among her students, who have been attending and who was not. As a result, he asked them to solve by deriving the following question in order to check those who have been attending. 1| Page Suppose that the Cumulative distribution function (CDF) of the random variable x with parameter 0 > 0 is defined by F(x; 0) = 1 – e, x>0 i) What is the expected value of X, E (X)? ii) What is the variance of X,V(X)?
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