Mathematics Grade 4 15 min

Expected values of random variables

Expected values of random variables

What you'll learn

  • Calculate the expected value of a discrete random variable given its probability distribution with at least 80% accuracy on a summative assessment.
  • Explain the meaning of expected value in the context of a real-world scenario, such as a game of chance or insurance policy, using appropriate mathematical terminology in a written response.
  • Solve problems involving expected value to make informed decisions in simulated scenarios, such as determining the optimal strategy in a game or evaluating the fairness of a lottery, with justification for their choice.
  • Identify the difference between expected value and actual outcomes in various probability experiments, providing examples where these values may or may not align.

Tutorial Preview

1

A bag has 1 🍎, 1 🍌, and 1 🍊. Which fruit are you most likely to pick?

2

A jar has 5 red marbles 🔴 and 2 blue marbles 🔵. Which color are you more likely to pick?

3

A spinner has two equal parts. One gives 2 points, the other gives 6 points. What is the average you expect to get?

Sample Practice Questions

Easy
A box has 1 toy car 🚗 and 1 toy boat ⛵. Which are you more likely to pick?
0.Car
1.Boat
2.Equal
Easy
A bowl has 3 green grapes 🍇 and 1 red apple 🍎. Which are you more likely to pick?
0.Grape
1.Apple
Easy
A game gives 2 tickets or 4 tickets, with equal chance. What is the average number of tickets you can expect?
0.2
1.3
2.4
3.6

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Frequently asked questions

What grade level is "Expected values of random variables"?

Expected values of random variables is a Grade 4 Mathematics lesson on ExcelOS.

What will I learn in Expected values of random variables?

You'll be able to: Calculate the expected value of a discrete random variable given its probability distribution with at least 80% accuracy on a summative assessment; Explain the meaning of expected value in the context of a real-world scenario….

Is "Expected values of random variables" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Expected values of random variables?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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