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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the mean of a binomial distribution with n = 6 and p = 0.4?
💡 Hint: Use the formula E(X) = np.
Question 2
Easy
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)).
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 the mean of a binomial distribution?
- np
- n(1-p)
- p/n
💡 Hint: Think about what the mean represents in your trials.
Question 2
True or False: The variance of a binomial distribution is calculated as np(1-p).
- True
- False
💡 Hint: Recall the definition of variance and its role.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation