Define discrete random variables and construct or verify valid probability distributions by listing possible values and assigning nonnegative probabilities that sum to 1. Calculate and interpret expected value, variance, and standard deviation for finite discrete distributions, including their meanings, units, and implications for typical outcomes and variability. Model repeated independent trials with binomial distributions, calculate exact and range probabilities, and use distributions and summary measures to compare risks, costs, payoffs, and fairness.
On this page:
- Master skills like “Calculate expected value”, “Calculate binomial probabilities”, and “Interpret expected value in context” with unlimited, free practice problems
- Download (or modify) free worksheets on Probability Distributions you can use at home or in class with practice problems across all skills in this group including “Verify valid probability distributions”, “Use probability distributions to make decisions”.
- Start working on adaptive units like “Probability and Counting - Random Variables - Intro” or “Probability and Counting - Random Variables - Practice” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Probability Distributions: Individual Skills
Master 5 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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Practice 'Calculate binomial probabilities'
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Download/Modify Free Grade 12 'Probability Distributions' Worksheet
Print this free 'Probability Distributions' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Calculate binomial probabilities
- Calculate expected value
- Interpret expected value in context
- Use probability distributions to make decisions
- Verify valid probability distributions
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Probability Distributions) through scaffolded problems that grow in difficulty as concepts are understood.