AI & ML · Probability for ML

Common distributions

473 problems in this skill, each with a solver-verified answer key. Answers are checked the moment you submit — with a hint if you want one and a worked solution afterwards.

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

Warm-up
A Bernoulli random variable $X$ takes the value $1$ with probability $p = 1/6$ and the value $0$ otherwise. Find $\operatorname{Var}(X)$ , giving your answer as a fraction.
Warm-up
A Bernoulli random variable $X$ takes the value $1$ with probability $p = 3/4$ and the value $0$ otherwise. Find $\operatorname{Var}(X)$ , giving your answer as a fraction.
Warm-up
A Bernoulli random variable $X$ takes the value $1$ with probability $p = 1/3$ and the value $0$ otherwise. Find $\operatorname{Var}(X)$ , giving your answer as a fraction.

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