5.2 - Binomial Distribution
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Practice Questions
Test your understanding with targeted questions
What is the binomial distribution used for?
💡 Hint: Remember the two outcomes you mentioned!
If n = 5 and p = 0.2, what is the expected number of successes?
💡 Hint: Multiply the number of trials by the probability.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for calculating the mean of a binomial distribution?
💡 Hint: Think about how we derive the expected number of successes.
True or False: The variance of a binomial distribution is calculated as np.
💡 Hint: Remember to include the probability of failure in the variance calculation.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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).
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.
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