Practice What Is A Probability Density Function (pdf)? (13.1.2)

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6 sample questions

Question 1.
Define what a PDF is in your own words.
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Think about how we visualize probabilities over intervals.
Question 2.
What is the total probability in any PDF?
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Recall the property of normalization.
3Question 3.
What does a PDF describe?
- Discrete variables
- Continuous variables
- Both
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Think about the characteristics of continuous versus discrete.
4Question 4.
The total area under the PDF curve for a continuous random variable is equal to:
- 0
- 1
- Infinity
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Remember the normalization property.
Question 5.
Suppose a PDF is defined as f(x) = 3x^2 for 0 ≤ x ≤ 1. Calculate the probability that X falls between 0.2 and 0.5.
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Remember to set up the integral properly and evaluate it.
Question 6.
Given a normal distribution with mean 10 and variance 4, calculate the probability that a random variable X is less than 12.
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Transform the problem to fit the standard normal distribution format.

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