Practice Expectation For Discrete Random Variables (9.1.2)

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6 sample questions

Question 1.
What is the expectation of a fair coin toss?
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Consider the probabilities of each outcome.
Question 2.
Calculate the expectation for rolling a 4-sided die.
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Add all outcomes and divide by the number of sides.
3Question 3.
What is the expectation of the outcome when rolling a fair 6-sided die?
- 2.5
- 3
- 3.5
- 4
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Think about the average of all the outcomes.
4Question 4.
Is the expected value of a constant equal to the constant itself?
- True
- False
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Remember what a constant is.
Question 5.
You roll two 6-sided dice. What is the expected value of the sum of the two rolls?
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Calculate each die's expectation and sum them.
Question 6.
Consider a random variable Z that can take values 0, 1, 2, or 3 with probabilities 0.1, 0.2, 0.4, and 0.3 respectively. Calculate E(Z) and variance.
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Use the definition of expectation and then apply the variance formula.

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