Random Variables, PMFs, CDFs, Expectation, and Variance

Questions

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• Question 1 of 8 · Intro

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  CDF at 2.5

  A discrete random variable X has PMF P(X = 0) = 0.08, P(X = 1) = 0.2, P(X = 2) = 0.32, P(X = 3) = 0.25, P(X = 4) = 0.15. Find F(2.5) = P(X <= 2.5).

• Question 2 of 8 · Intro

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  CDF at Negative One

  A discrete random variable X has PMF P(X = -2) = 0.15, P(X = -1) = 0.25, P(X = 0) = 0.4, P(X = 1) = 0.2. Find F(-1) = P(X <= -1).

• Question 3 of 8 · Intro

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  PMF Event at Least Two

  A discrete random variable X has PMF P(X = 0) = 0.1, P(X = 1) = 0.25, P(X = 2) = 0.4, P(X = 3) = 0.25. Find the probability that X is at least 2.

• Question 4 of 8 · Intro

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  PMF Event at Most One

  A discrete random variable X has PMF P(X = 0) = 0.22, P(X = 1) = 0.33, P(X = 2) = 0.28, P(X = 3) = 0.17. Find the probability that X is at most 1.

• Question 5 of 8 · Intro

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  PMF Middle-Value Event

  A discrete random variable X has PMF P(X = 1) = 0.15, P(X = 2) = 0.3, P(X = 3) = 0.35, P(X = 4) = 0.2. Find the probability that 2 <= X <= 3.

• Question 6 of 8 · Intro

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  PMF Odd-Value Event

  A discrete random variable X has PMF P(X = 0) = 0.12, P(X = 1) = 0.18, P(X = 2) = 0.26, P(X = 3) = 0.24, P(X = 4) = 0.2. Find the probability that X is odd.

• Question 7 of 8 · Intro

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  Variance of a Credit Value

  A discrete random variable X has PMF P(X = 0) = 0.25, P(X = 2) = 0.5, P(X = 4) = 0.25. Find Var(X).

• Question 8 of 8 · Core

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  Missing Call PMF Value

  A discrete random variable X has PMF P(X = 0) = 0.12, P(X = 1) = ?, P(X = 2) = 0.31, P(X = 3) = 0.22. What is P(X = 1)?