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# Unit: Random variables and probability distributions

AP Stats:

UNC (BI)

, UNC‑3 (EU)

, VAR (BI)

, VAR‑5 (EU)

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AP Stats:

VAR (BI)

, VAR‑5 (EU)

, VAR‑5.A (LO)

, VAR‑5.A.1 (EK)

, VAR‑5.A.2 (EK)

, VAR‑5.A.3 (EK)

, VAR‑5.C (LO)

, VAR‑5.C.1 (EK)

, VAR‑5.C.2 (EK)

, VAR‑5.C.3 (EK)

, VAR‑5.D (LO)

, VAR‑5.D.1 (EK)

### Learn

### Practice

- Graph probability distributionsGet 3 of 4 questions to level up!
- Probability with discrete random variablesGet 3 of 4 questions to level up!
- Develop probability distributions: Theoretical probabilitiesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

### Learn

### Practice

- Mean (expected value) of a discrete random variableGet 3 of 4 questions to level up!
- Interpret expected valueGet 3 of 4 questions to level up!
- Standard deviation of a discrete random variableGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

AP Stats:

VAR (BI)

, VAR‑5 (EU)

, VAR‑5.F (LO)

, VAR‑5.F.1 (EK)

### Learn

### Practice

- Transforming random variablesGet 3 of 4 questions to level up!

AP Stats:

VAR (BI)

, VAR‑5 (EU)

, VAR‑5.E (LO)

, VAR‑5.E.1 (EK)

, VAR‑5.E.2 (EK)

, VAR‑5.E.3 (EK)

### Learn

### Practice

- Combining random variablesGet 3 of 4 questions to level up!
- Combining normal random variablesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

AP Stats:

UNC (BI)

, UNC‑3 (EU)

, UNC‑3.A (LO)

, UNC‑3.A.2 (EK)

, UNC‑3.B (LO)

, UNC‑3.B.1 (EK)

### Learn

### Practice

- Identifying binomial variablesGet 3 of 4 questions to level up!
- Binomial probability formulaGet 3 of 4 questions to level up!
- Calculating binomial probabilityGet 3 of 4 questions to level up!

AP Stats:

UNC (BI)

, UNC‑3 (EU)

, UNC‑3.A (LO)

, UNC‑3.A.2 (EK)

, UNC‑3.B (LO)

, UNC‑3.B.1 (EK)

, UNC‑3.C (LO)

, UNC‑3.C.1 (EK)

Level up on the above skills and collect up to 320 Mastery points

AP Stats:

UNC (BI)

, UNC‑3 (EU)

, UNC‑3.E (LO)

, UNC‑3.E.1 (EK)

, UNC‑3.E.2 (EK)

, UNC‑3.F (LO)

, UNC‑3.F.1 (EK)

### Learn

### Practice

- Binomial vs. geometric random variablesGet 3 of 4 questions to level up!
- Geometric distributionsGet 3 of 4 questions to level up!
- Geometric probabilityGet 3 of 4 questions to level up!
- Cumulative geometric probabilityGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

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Level up on all the skills in this unit and collect up to 1700 Mastery points!#### Unit test

### About this unit

A random variable is some outcome from a chance process, like how many heads will occur in a series of 20 flips (a discrete random variable), or how many seconds it took someone to read this sentence (a continuous random variable). We calculate probabilities of random variables, calculate expected value, and look what happens when we transform and combine random variables.AP® is a registered trademark of the College Board, which has not reviewed this resource.