Develop a theoretical probability distribution
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**HSS.MD.A.3**: (+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.
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HSS.MD.A.3: (+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.
What you'll learn
- Develop a theoretical probability distribution for a discrete random variable when the outcome probabilities can be computed from a model
- Use the multiplication rule for independent events and counting (combinations) to find P(X = k) for each value
- Verify the developed distribution sums to 1 and graph it as a probability histogram
- Compute the expected value of the developed distribution
- Convert the distribution to a payoff under different grading or scoring schemes and compare the resulting expected values
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
Theoretical distribution and counting
✓ Start hereValidate graph and grading schemes
Practice
Try it on your own