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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for Conditional PMF?
💡 Hint: Think about how the joint and marginal probabilities relate.
Question 2
Easy
If P(A = 1, B = 1) = 0.4 and P(B = 1) = 0.5, what is P(A = 1 | B = 1)?
💡 Hint: Use the Conditional PMF formula.
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 Conditional PMF help us understand?
- The likelihood of an event regardless of others
- The relationship between two random variables
- The total probability of all outcomes
💡 Hint: Focus on the dependency aspect.
Question 2
True or False: P(X = x | Y = y) is determined solely from P(Y = y).
- True
- False
💡 Hint: Consider what you need to calculate a conditional probability.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Two variables have a joint distribution where P(X = 3, Y = 5) = 0.25, and P(Y = 5) = 0.5. Calculate P(X = 3 | Y = 5) and interpret this in a practical scenario.
💡 Hint: Use the Conditional PMF formula!
Question 2
In medical testing, if P(Positive Test | Disease) = 0.9 and the general population probability P(Disease) = 0.01, discuss the implications if P(Positive Test) is found to be significantly different.
💡 Hint: Think about sensitivity and specificity in testing.
Challenge and get performance evaluation