Practice Cumulative Distribution Function (cdf) Vs Pmf (12.6)

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6 sample questions

Question 1.
What does PMF stand for?
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Think about the type of probability it deals with.
Question 2.
True or False: The CDF gives probabilities for discrete outcomes only.
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Consider the definitions of PMF and CDF.
3Question 3.
What does the PMF provide?
- Probability of specific values
- Cumulative probabilities
- Both
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Remember the definition of PMF.
4Question 4.
Is the following statement True or False? The CDF is used to find the probability of discrete outcomes.
- True
- False
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Think of what CDF does.
Question 5.
Suppose a discrete random variable has a PMF given as P(X=1) = 0.1, P(X=2) = 0.2, P(X=3) = 0.4, and P(X=4) = 0.3. Construct the corresponding CDF and explain the interpretation.
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Add the PMF probabilities cumulatively to form the CDF.
Question 6.
Consider a scenario where the CDF of a random variable is defined piecewise. Describe how this affects the PMF.
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Analyze the areas where the CDF changes values.

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