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Random Variable

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AP Statistics

Definition

A random variable is a numerical value that represents the outcome of a random event or experiment.

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Subjects (40)

Practice Questions (9)

Which of the following best defines a random variable?
How are probabilities of all possible values of a random variable related?
What does the standard deviation of a random variable measure?
How can you find the mean of a linear transformation of a random variable?
How can you find the standard deviation of a linear transformation of a random variable?
A random variable, X, has a mean of 10 and a standard deviation of 2. If you transform X into a new random variable Y by adding a constant of 3 to each value, what is the mean and standard deviation of Y?
A random variable, X, has a mean of 5 and a standard deviation of 3. If you transform X by multiplying each value by a constant of 6, what is the mean and standard deviation of the transformed variable, Y?
Which of the following transformations affect the measures of center of a random variable?
A random variable, X, has a mean of 18. If you transform X by dividing each value by a constant of 2, what is the mean of the transformed variable, Y?

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