a) Many SSTA021 students came to the lecturer's office to consult prior to the testabout what was taught during lectures. The lecturer, is very concerned that someof her students have not been attending SSTA021 lessons and wanted to checkamong her students, who have been attending and who was not. As a result, heasked them to solve by deriving the following question in order to check those whohave been attending.1| PageSuppose that the Cumulative distribution function (CDF) of the random variable xwith parameter 0 > 0 is defined byF(x; 0) = 1 – e,x>0i)What is the expected value of X, E (X)?ii)What is the variance of X,V(X)?

Answered: Image /qna-images/answer/28247f3a-8c74-4676-bd56-7f6db834cc50.jpg

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)?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.2: Introduction To Probability

Problem 80E

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Question

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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