Asked by Spencer Goldberg on Sep 26, 2024
In the notation below,X is the random variable,c is a constant,and V refers to the variance.Which of the following laws of variance is not true?
A) V(c) = 0
B) V(X + c) = V(X) + c
C) V(cX) = c2 V(X)
D) None of these choices.
Variance
A measure of the dispersion of a set of data points around their mean; mathematically, it is the average of the squared differences from the mean.
Random Variable
A variable that assumes numerical outcomes as a result of random events.
Constant
A value that remains unchanged throughout the execution of a process or formula.
- Understand the laws of variance and their application in probability theory.
- Grasp the concept of variance, especially in relation to random variables and distributions.
Learning Objectives
- Understand the laws of variance and their application in probability theory.
- Grasp the concept of variance, especially in relation to random variables and distributions.
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