Practice Cumulative Distribution Function (CDF) vs PMF - 12.6 | 12. Probability Mass Function (PMF) | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does PMF stand for?

💡 Hint: Think about the type of probability it deals with.

Question 2

Easy

True or False: The CDF gives probabilities for discrete outcomes only.

💡 Hint: Consider the definitions of PMF and CDF.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the PMF provide?

  • Probability of specific values
  • Cumulative probabilities
  • Both

💡 Hint: Remember the definition of PMF.

Question 2

Is the following statement True or False? The CDF is used to find the probability of discrete outcomes.

  • True
  • False

💡 Hint: Think of what CDF does.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Suppose a discrete random variable has a PMF given as P(X=1) = 0.1, P(X=2) = 0.2, P(X=3) = 0.4, and P(X=4) = 0.3. Construct the corresponding CDF and explain the interpretation.

💡 Hint: Add the PMF probabilities cumulatively to form the CDF.

Question 2

Consider a scenario where the CDF of a random variable is defined piecewise. Describe how this affects the PMF.

💡 Hint: Analyze the areas where the CDF changes values.

Challenge and get performance evaluation