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Practice Questions
Test your understanding with targeted questions related to the topic.
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?
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 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.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation