- #1
rogo0034
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Homework Statement
Find the Mean and Variance of Random Variable Z = (5x+3)
Using data set:
&
The Attempt at a Solution
Last edited:
Find the Mean and Variance of Random Variable Z = (5x+3)
- Thread starter rogo0034
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Homework Help Overview
The discussion revolves around finding the mean and variance of a random variable defined as Z = (5x + 3), with participants referencing a data set related to the variable x.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the challenges of computing the expected value (EX) and variance (Var(X)) based on a provided data set. Questions arise regarding the application of specific theorems and corollaries related to these calculations.
Discussion Status
Some participants have offered guidance on computing EX and Var(X), while others express uncertainty about the theorems and their application. Multiple interpretations of the requirements are being explored, particularly regarding the use of theorems in the context of the problem.
Contextual Notes
There are indications of a large data set and specific homework requirements that may be influencing the discussion, as well as a need to compute values that are not immediately known to all participants.
Find the Mean and Variance of Random Variable Z = (5x+3)
Using data set:
&
- #2
rogo0034
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Sorry the data set it so large, I've been trying to adjust it to no avail.EDIT: Fixed it, should be easier to view now
Last edited:
- #3
Ray Vickson
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rogo0034 said:Homework Statement
Find the Mean and Variance of Random Variable Z = (5x+3)
Using data set:
Using:
&
The Attempt at a Solution
You have a very small table of x and f(x) values. What is stopping you from computing EX? Why don't you just compute EX, then use that value in the computation of Var(X) = sum f(x)*(x-EX)^2 ?
RGV
- #4
rogo0034
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They want us to use the theorem and corollary, any ideas? I'm not too savvy with this stuff yet.
- #5
Ray Vickson
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rogo0034 said:
OK, so use the theorem and the corollary. Does the first theorem have E(X) in it? Do you know the value of E(X)? If not, you need to compute it. Does the second theorem have [itex]\text{Var}(X) = \sigma_x^2[/itex] in it? Do you know the value of Var(X)? If not, you need to compute it.
RGV
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