Practice Partial Differential Equations (8) - Cumulative Distribution Function (CDF)

Practice: Partial Differential Equations

Lesson 8Cumulative Distribution Function (CDF)

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9 questions

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4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does the CDF represent mathematically?
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Think about probability and how values are compared.
Question 2.
What is the range of values that F(x) can take?
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Remember it's related to probabilities.
3Question 3.
What does the CDF of a random variable X represent?
- The probability that X equals a specific value.
- The probability that X is less than or equal to a value x.
- The average value of X.
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Remember the definition of CDF.
4Question 4.
True or False: The CDF of a discrete random variable is a continuous function.
- True
- False
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Think about how discrete variables behave.
Question 5.
Given that a random variable X has the following probability density function: f(x) = 4x for 0 ≤ x ≤ 0.5, compute the CDF and evaluate F(0.25).
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Integrate the PDF from the lower limit to 0.25.
Question 6.
A manufacturer has two machines, A and B. The CDF for machine A's failure times is given. If the CDF for machine B's failure is a constant value of 0.3, discuss how this affects overall machine reliability.
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Consider how the cumulative failure rate influences operational decisions.

5 more questions in this section. Enroll free to practise them all.