Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter 0 > 0 is defined by F(x; 0) = 1 – e¯i, 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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 53E
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a) Many SSTA021 students came to the lecturer's office to consuit 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.
Transcribed Image Text:a) Many SSTA021 students came to the lecturer's office to consuit 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.
Suppose that the Cumulative distribution function (CDF) of the random variable X
with parameter 0 > 0 is defined by
F(x; 0) = 1- e ā,
x >0
i)
What is the expected value of X, E (X)?
ii)
What is the variance of X,V(X)?
Transcribed Image Text:Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter 0 > 0 is defined by F(x; 0) = 1- e ā, 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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