Practice Properties of PMF - 12.3 | 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 the non-negativity property mean?

πŸ’‘ Hint: Think about if you can have a negative chance of an event happening.

Question 2

Easy

Why is normalization important in PMFs?

πŸ’‘ Hint: Recall PMF like a cup; it must be full!

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 is the property that ensures probabilities are not negative in a PMF?

  • Normalization
  • Non-Negativity
  • Discrete Domain

πŸ’‘ Hint: This property safeguards the logical foundation of probability.

Question 2

Is a PMF valid if the total probabilities sum to more than 1?

  • True
  • False

πŸ’‘ Hint: Revisit the 'full cup of probability' analogy.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a scenario where a random variable X represents the number of correct answers from a multiple-choice exam with 3 questions (each question has 4 choices). Construct a PMF for X.

πŸ’‘ Hint: Identify the variable outcomes and apply the binomial distribution.

Question 2

Why might we prefer using a PMF over a PDF when analyzing data involving customer choices (like size selections: small, medium, large)?

πŸ’‘ Hint: Think about the nature of customer choices and their specific outcomes.

Challenge and get performance evaluation