18.X.3 - Properties of Binomial Distribution
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Practice Questions
Test your understanding with targeted questions
What is the mean of a binomial distribution with n = 6 and p = 0.4?
💡 Hint: Use the formula E(X) = np.
Calculate the standard deviation for a binomial distribution with n = 8 and p = 0.5.
💡 Hint: Recall the standard deviation formula σ = √(np(1 - p)).
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the mean of a binomial distribution?
💡 Hint: Think about what the mean represents in your trials.
True or False: The variance of a binomial distribution is calculated as np(1-p).
💡 Hint: Recall the definition of variance and its role.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A professor conducts an experiment allowing students to respond with either a 'yes' (success) or 'no' (failure). If the probability of a 'yes' is 0.4 and there are 12 trials, calculate the skewness and kurtosis.
💡 Hint: Use the formulas provided for skewness and kurtosis.
A game involves rolling a die 8 times. Determine the variance and standard deviation of rolling a 3, with the probability of rolling a 3 denoted as 1/6.
💡 Hint: Count on the binomial formula for variance and take the square root for SD.
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