Practice Finding Probabilities (5) - Normal Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Finding Probabilities

Practice - Finding Probabilities

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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