Calculate the expected value of a random variable
Start lessonBegins with Expected value formula and mean · Slides
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.2
**HSS.MD.A.2**: (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.
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HSS.MD.A.2: (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.
What you'll learn
- Compute the expected value of a discrete random variable using E(X) = sum of x*P(X = x)
- Interpret expected value as the mean of the probability distribution
- Interpret expected value as the long-run average value over many repetitions
- Locate the expected value as the balance point of the probability histogram
- Compute and interpret expected value for situations with signed payoffs, and classify a game of chance as fair, favorable, or unfavorable from the sign of E(X)
Review first:
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
1
Expected value formula and mean
✓ Start here2
Balance point and payoffs
Practice
Try it on your own
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