Practice Common Probability Density Functions (13.1.5) - Probability Density Function (pdf)

Practice: Common Probability Density Functions

Lesson 13.1.5Probability Density Function (pdf)

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10 questions

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6 sample questions

Question 1.
What does a Probability Density Function (PDF) represent?
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Think about how continuous variables behave.
Question 2.
Is the probability at a single point for a continuous random variable zero?
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Consider the infinite possibilities in a continuous range.
3Question 3.
What does the total area under the PDF curve equal?
- 0
- 1
- 2
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Consider the definition of probability.
4Question 4.
True or False: In a continuous distribution, the probability of a single point is greater than zero.
- True
- False
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Think about the concept of continuous values.
Question 5.
A continuous random variable has a PDF defined as f(x) = kx for 0 ≤ x ≤ 2, where k is a constant. Find k and then calculate P(0.5 ≤ X ≤ 1.5).
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Remember to first find k by normalization.
Question 6.
Given a Normal distribution with mean of 100 and standard deviation of 15, what is the probability of selecting a value between 85 and 115?
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Calculate Z-scores from the provided values and refer to the Z-table.

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