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Discrete Random Variables & Probability Distributions (Grade 11)

Free printable Grade 11 senior secondary (Year 11-12) Mathematical Methods worksheet on discrete random variables and probability distribution tables. Every probability sums to 1 and every answer is computed.

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Grade 11 · Math worksheet
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Math

Probability Distributions: Discrete Random Variables

Use each probability distribution table (probabilities that sum to 1) to answer the question. Give probabilities as decimals.

  1. 1.
    A discrete random variable X has this probability distribution: P(X=3)=0.15, P(X=6)=0.2, P(X=7)=?, P(X=8)=0.25, P(X=9)=0.25. Find the missing probability.
  2. 2.
    A discrete random variable X has this probability distribution: P(X=3)=0.2, P(X=4)=0.25, P(X=6)=0.25, P(X=7)=0.3. Find P(X >= 7).
  3. 3.
    A discrete random variable X has this probability distribution: P(X=0)=0.25, P(X=5)=0.4, P(X=7)=0.35. State P(X=7).
  4. 4.
    A discrete random variable X has this probability distribution: P(X=0)=0.1, P(X=3)=?, P(X=7)=0.3, P(X=8)=0.4. Find the missing probability.
  5. 5.
    A discrete random variable X has this probability distribution: P(X=6)=0.35, P(X=7)=0.35, P(X=8)=0.3. State P(X=8).
  6. 6.
    A discrete random variable X has this probability distribution: P(X=1)=0.3, P(X=7)=0.35, P(X=9)=?. Find the missing probability.
  7. 7.
    A discrete random variable X has this probability distribution: P(X=0)=0.15, P(X=5)=0.2, P(X=6)=0.2, P(X=9)=0.45. Find P(X >= 9).
  8. 8.
    A discrete random variable X has this probability distribution: P(X=0)=0.25, P(X=2)=0.25, P(X=3)=?, P(X=6)=0.2, P(X=8)=0.15. Find the missing probability.
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