Asked by Angie Navarrete on Sep 26, 2024
In the notation below,X is the random variable,E and V refer to the expected value and variance,respectively.Which of the following is false?
A) E(3X) = 3E(X)
B) V(2) = 0
C) E(X + 1) = E(X) + 1
D) All of these choices are true.
Expected Value
The anticipated value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.
Variance
An indicator of the distance between values in a dataset, reflecting how much each value deviates from the average.
Random Variable
An entity whose outcomes are numerical and stem from a random process.
- Understand the mathematical relationships and operations involving expected values and variances.
Learning Objectives
- Understand the mathematical relationships and operations involving expected values and variances.