Discrete Random Variables & Probability Distributions (Grade 12)
Free printable Grade 12 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 12 · Math worksheet
Name
Date
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.A discrete random variable X has this probability distribution: P(X=0)=0.05, P(X=3)=0.45, P(X=4)=0.2, P(X=5)=0.15, P(X=8)=?. Find the missing probability.
- 2.A discrete random variable X has this probability distribution: P(X=5)=0.4, P(X=7)=?, P(X=8)=0.3. Find the missing probability.
- 3.A discrete random variable X has this probability distribution: P(X=0)=0.65, P(X=1)=?, P(X=3)=0.1, P(X=8)=0.15. Find the missing probability.
- 4.A discrete random variable X has this probability distribution: P(X=2)=0.15, P(X=3)=0.25, P(X=4)=0.4, P(X=8)=0.2. Find P(X >= 8).
- 5.A discrete random variable X has this probability distribution: P(X=3)=0.3, P(X=5)=0.6, P(X=6)=0.1. Find P(X >= 5).
- 6.A discrete random variable X has this probability distribution: P(X=6)=0.35, P(X=7)=0.4, P(X=8)=?. Find the missing probability.
- 7.A discrete random variable X has this probability distribution: P(X=1)=0.1, P(X=2)=0.1, P(X=4)=0.5, P(X=6)=0.3. Is this a valid probability distribution? (Do the probabilities sum to 1?)
- 8.A discrete random variable X has this probability distribution: P(X=6)=0.2, P(X=7)=0.1, P(X=8)=0.3, P(X=9)=?. Find the missing probability.
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