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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What condition must the probabilities in a discrete probability distribution satisfy?
💡 Hint: Think of the total probability rule.
Question 2
Easy
Define expected value in your own words.
💡 Hint: Consider it as the center of a probability distribution.
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 expected value of a fair six-sided die?
- 2
- 3.5
- 4
💡 Hint: Recall the average of all possible outcomes.
Question 2
True or False: The probabilities in a discrete distribution can add up to more than 1.
- True
- False
💡 Hint: Think of the total probability.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
There's a two-sided die where one side shows a number from 1 to 10, weighted towards higher numbers. Determine the expected value if the weights are P(1)=0.05, P(2)=0.05, P(3)=0.1, P(4)=0.1, P(5)=0.1, P(6)=0.15, P(7)=0.1, P(8)=0.1, P(9)=0.1, P(10)=0.05.
💡 Hint: Use the same method of calculating expected values we've practiced.
Question 2
A store has a 30% chance of selling 1 shirt, 50% chance of selling 2 shirts, and 20% chance of selling no shirts over a weekend. Calculate the expected sales and the variance.
💡 Hint: Remember the steps we went through to find variance!
Challenge and get performance evaluation