Practice What Is A Cumulative Distribution Function (cdf)? (8.1)

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6 sample questions

Question 1.
Define a Cumulative Distribution Function.
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Think about what F(x) represents in terms of probability.
Question 2.
What is the range of a CDF?
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Consider the nature of probabilities.
3Question 3.
What does the CDF F(x) represent?
- Probability that X > x
- Probability that X = x
- Probability that X ≤ x
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Think of the role CDF plays in distribution.
4Question 4.
True or False: The CDF can take values outside the range of 0 to 1.
- True
- False
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Reflect on the nature of probability.
Question 5.
Consider a random variable X with the PDF f(x) = 3x² for 0 ≤ x ≤ 1. Find the CDF F(x) and evaluate F(0.5).
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Remember to adjust the limits of integration properly.
Question 6.
A six-sided die is rolled. Calculate the CDF for the random variable representing the number shown on the die.
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Create segments in your computation for clarity.

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