Practice Further Reading (6.7) - Random Variables (Discrete and Continuous)

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6 sample questions

Question 1.
Define a random variable.
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Think about how outcomes of experiments can be quantified.
Question 2.
Give an example of a discrete random variable.
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Consider an experiment with a limited number of outcomes.
3Question 3.
What is a random variable?
- A function relating outcomes to numbers
- A fixed value
- A type of probability distribution
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Think about experiments and how outcomes can be represented.
4Question 4.
True or False: A PMF can sum to a number greater than one.
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Consider the rules of probability.
Question 5.
Given a discrete random variable representing the roll of two six-sided dice, calculate the PMF for the sum of the dice.
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Think about all combinations that can lead to each sum.
Question 6.
A continuous random variable X has a PDF of f(x) = 3x^2 for 0 ≤ x ≤ 1. Calculate the expected value E(X).
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Integrate to find area and then multiply accordingly!

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