AP Statistics Flashcards: Combining Random Variables

Study Combining Random Variables in AP Statistics with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the variance of $2Y$ given $\text{Var}(Y) = 4$ ?

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ANSWER

$\text{Var}(2Y) = 16$ . Apply variance scaling: $2^2(4) = 4(4) = 16$ .

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AP Statistics: Probability, Random Variables, and Probability Distributions

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Estimating Probabilities Using Simulation39 cards

Independent Events and Unions of Events36 cards

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Mean and Standard Deviation40 cards

Mutually Exclusive Events34 cards

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All flashcards

32 cards

What this deck covers

This deck focuses on Combining Random Variables, giving you a quick way to review the definitions, rules, and examples that matter most for AP Statistics.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 47Practice questions for this set

In a science lab, measurement error (in millimeters) comes from two independent sources. Let

X

be the error from the scale calibration with

\mu_X=0.2

and

\sigma_X=0.6

. Let

Y

be the error from the observer's reading with

\mu_Y=-0.1

and

\sigma_Y=0.8

. Define

E=X+Y

, the total measurement error. Which statement about the combined variable is correct?

Choose an answer

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