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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for calculating tail probability?
💡 Hint: Think about the complement of the probability.
Question 2
Easy
Define what a Z-score is.
💡 Hint: Consider how standard deviations relate to the average.
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 to calculate the tail probability?
- P(X > x) = P(X ≤ x)
- P(X < x) = 1 - P(X > x)
- P(X > x) = 1 - P(X ≤ x)
💡 Hint: Consider the definition of tail probabilities.
Question 2
True or False: The Z-score for a data point that is exactly at the mean is 0.
- True
- False
💡 Hint: Think about how the Z-score is calculated.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a dataset with \( mean = 200 \) and \( sd = 25 \), calculate \( P(250 < X < 300) \) and interpret your results.
💡 Hint: Remember to use the standardization formula for both bounds.
Question 2
If the 95th percentile of a distribution is 130 with mean 100, what is the new mean if the distribution shifts right by 40?
💡 Hint: Consider how shifts affect entire distributions, not just individual percentiles.
Challenge and get performance evaluation