Practice Partial Differential Equations - 12 | 12. Probability Mass Function (PMF) | Mathematics - iii (Differential Calculus) - Vol 3
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Partial Differential Equations

12 - Partial Differential Equations

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the PMF for a fair coin toss?

💡 Hint: Think about the two possible outcomes.

Question 2 Easy

List a situation involving a discrete random variable.

💡 Hint: Focus on countable outcomes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does PMF represent?

The probability of a continuous variable
The probability of a discrete variable
None of the above

💡 Hint: Remember what kind of variables PMF applies to.

Question 2

True or False: The total probability of a valid PMF must equal 0.

True
False

💡 Hint: Think about the concept of probability.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Suppose you conduct an experiment where you toss a fair coin twice. Determine the PMF for the total number of heads observed.

💡 Hint: Consider all combinations of heads and tails.

Challenge 2 Hard

A customer service center observes the number of calls received per hour follows a Poisson distribution with a mean of 3. Determine the PMF for receiving 0, 1, 2, and 3 calls.

💡 Hint: Use the Poisson formula for calculations.

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