Practice Cumulative Distribution Function (cdf) (7.2.3) - Probability Distribution Function (PDF)

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6 sample questions

Question 1.
Define the CDF in your own words.
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Think about how probabilities accumulate.
Question 2.
What is the relation between PDF and CDF?
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Integration leads to cumulative values.
3Question 3.
What is the primary function of a CDF?
- Describes likelihood at a point
- Used for integration alone
- Gives cumulative probability
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Recall what cumulative means.
4Question 4.
True or False: As x approaches negative infinity, the CDF approaches 1.
- True
- False
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Think about total probability discounting small values.
Question 5.
Derive the CDF for a PDF given as f(x) = e^(-x) for x ≥ 0.
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Set up the definite integral for the PDF.
Question 6.
For a bimodal distribution with two peaks, how would you outline a method to derive its CDF?
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Think about piecewise functions.

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