We Can Think of the Expected Value of a Random

question 30

Multiple Choice

We can think of the expected value of a random variable X as ________.

• A) the long-run average of the random variable values generated over 100 independent repetitions
• B) the long-run average of the random variable values generated over 1,000 independent repetitions
• C) the long-run average of the random variable values generated over infinitely many independent repetitions
• D) the long-run average of the random variable values generated over a finite number of independent repetitions

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Definitions:

Sampling Distribution

The probability distribution of a given statistic based on a random sample, used to infer properties of an entire population.

Population Mean

The average of all the values in a population.

Sampling Distribution

The distribution of a statistic (such as the mean) computed from a sample, over repeated sampling from the same population.

Variability

The extent to which data points differ from each other and from the mean of the data set.