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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the binomial distribution used for?
💡 Hint: Remember the two outcomes you mentioned!
Question 2
Easy
If n = 5 and p = 0.2, what is the expected number of successes?
💡 Hint: Multiply the number of trials by the probability.
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 formula for calculating the mean of a binomial distribution?
💡 Hint: Think about how we derive the expected number of successes.
Question 2
True or False: The variance of a binomial distribution is calculated as np.
- True
- False
💡 Hint: Remember to include the probability of failure in the variance calculation.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a game where a player has a 60% success rate in hitting targets, if they shoot 15 times, calculate the exact probability of them hitting exactly 10 targets and interpret the result.
💡 Hint: Focus on both the combinations and the powers of p and (1-p).
Question 2
A clinical trial tests a new drug which has a 75% success rate. If 20 patients receive the treatment, find the probability of exactly 15 responding positively to the medication.
💡 Hint: Factor in the success rate alongside n and k.
Challenge and get performance evaluation