Practice Important Points To Remember (12.10) - Probability Mass Function (PMF)

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6 sample questions

Question 1.
Define a discrete random variable and provide one example.
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Think of outcomes that can be counted, not measured.
Question 2.
What is a valid PMF?
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Recall the three conditions we discussed in class.
3Question 3.
What does PMF stand for?
- Probability Mean Function
- Probability Mass Function
- Partial Mass Function
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Remember it focuses on discrete outcomes.
4Question 4.
True or False: The sum of the probabilities in a valid PMF is 0.
- True
- False
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Consider the definition of a valid PMF and its requirements.
Question 5.
You have a PMF where the probabilities are P(0) = 0.4, P(1) = x, and P(2) = 0.3. Determine x, ensuring the PMF is valid.
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Think about the condition that they must sum to 1.
Question 6.
Consider a discrete random variable X with outcomes from a set {1, 2, 3}. If P(X=1) = 0.2, P(X=2) = 0.5, what is P(X=3) needed for normalization?
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Remember normalization requires the total probability to be 1.

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