Practice Common Discrete Distributions and Their PMFs - 12.9 | 12. Probability Mass Function (PMF) | Mathematics - iii (Differential Calculus) - Vol 3
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Common Discrete Distributions and Their PMFs

12.9 - Common Discrete Distributions and Their PMFs

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a discrete random variable with an example.

💡 Hint: Think of countable items.

Question 2 Easy

What does PMF stand for and what does it represent?

💡 Hint: What does probability relate to in regards to outcomes?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the PMF of a Bernoulli distribution?

p^x(1 - p)^{1 - x}
p(1 - p)^x
(n choose x)p^x(1 - p)^{n - x}

💡 Hint: Remember the two outcomes of Bernoulli.

Question 2

True or False: The Poisson distribution can be used for modeling continuous random variables.

True
False

💡 Hint: Consider the type of variable it models.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a biased coin, where the probability of heads is 0.7. If you toss it 10 times, calculate the probability of getting exactly 7 heads.

💡 Hint: You'll need to calculate the binomial coefficient.

Challenge 2 Hard

A radio station receives an average of 5 calls per hour. What is the probability that it will receive exactly 3 calls in the next hour?

💡 Hint: Apply the Poisson formula directly.

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