Select all that apply
Which of the following represents the expected value?
Multiple select question.
σ2
μ
Var(X)
σ
SD(X)
E(X)
Need help? Review these co
ncepts:
- Expected value (E(X)) represents the average value of a random variable.
- Variance (Var(X)) measures the spread or dispersion of a random variable.
- Standard deviation (SD(X)) is the square root of the variance and measures the average amount by which each value in the distribution differs from the expected value.
- µ represents the population mean.
- σ represents the population standard deviation.
Based on these definitions, the expected value is represented by:
- μ (population mean)
- E(X) (expected value)
To select all the options that represent the expected value, we need to identify the correct notation for the expected value.
The expected value of a random variable X is denoted as E(X) or μ. Therefore, the options that represent the expected value are:
- μ (as denoted in the question)
- E(X)