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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the binomial distribution model?
💡 Hint: Consider what outcomes are being counted.
Question 2
Easy
Explain what is meant by 'choosing k successes.'
💡 Hint: Think about how many sequences can be formed.
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 (n choose k)?
- The total number of successes
- The number of ways to choose k successes from n trials
- The probability of success
💡 Hint: Think of it as counting ways to pick items.
Question 2
The binomial distribution can only be used if trials are independent.
- True
- False
💡 Hint: Consider the definition of independent trials.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A factory produces 100 lightbulbs, and there's a 5% chance any bulb is defective. What’s the probability that exactly 3 bulbs are defective?
💡 Hint: Break the calculation into the binomial coefficient and separate terms for success and failure.
Question 2
In a game, you roll a die 30 times and win by rolling a 4 (p = 1/6). What’s the probability of rolling exactly 5 fours?
💡 Hint: Calculate the combinations and the probabilities separately to build the answer.
Challenge and get performance evaluation