Random Variables and Discrete Distributions

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Each question is graded on a single answer: a check that this chapter's methods work, not a test of the reasoning behind them.

A random variable

X

has ⁠

P (X = 0) = 0.2

⁠,

P (X = 1) = 0.5

and ⁠

P (X = 2) = c

⁠. What is

c

⁠?

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disc-rv-1Problem set All Probability chapters

About these 100 questions

Random variables, PMFs, expected value, binomial, Poisson, and geometric distributions. This set covers the chapter Random Variables and Discrete Distributions in Probability: 36 easy, 39 medium and 25 hard questions, each graded instantly with a hint and a full step-by-step solution. Progress is saved in this browser only.

Random Variables, Mass Functions, and Distribution Functions — 14 questions
Expectation, Variance, and Linearity — 18 questions
The Binomial Distribution — 20 questions
The Poisson Distribution — 18 questions
The Geometric Distribution and Memorylessness — 14 questions
Negative Binomial and Hypergeometric — 10 questions
Choosing a Distribution — 6 questions

For work on paper there is a printable problem set with separate worked solutions.