Practice Steps To Work With Pdfs (7.2.8) - Probability Distribution Function (PDF)

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6 sample questions

Question 1.
What does PDF stand for?
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It's essential in the probability.
Question 2.
Name two common types of probability distributions.
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Think of how probabilities can be evenly spread or clustered.
3Question 3.
What is the sum of all PDF values over its range?
- Less than 1
- Equal to 1
- More than 1
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Think about the entire probability space.
4Question 4.
A PDF can be negative.
- True
- False
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Recall the foundational properties of PDFs.
Question 5.
If a variable X has a uniform distribution between 0 and 16, what is the probability that X is less than 5?
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Use the length of the interval method.
Question 6.
A continuous random variable has a PDF given by f(x) = 3x^2 for 0 < x < 1. Find the mean of this distribution.
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Use the definition of expected value with the PDF.

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