Practice Two-sided Probability (5.3) - Normal Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Two-sided probability

Practice - Two-sided probability

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is two-sided probability?

💡 Hint: Think about both sides of the mean.

Question 2 Easy

How do you calculate Z-score?

💡 Hint: Z-score tells you how far and in what direction a point is from the mean.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does two-sided probability measure?

Only values above the mean
Values within a certain range around the mean
Total probabilities of values

💡 Hint: Focus on the range aspect.

Question 2

True or False: The empirical rule states that 95% of values lie within two standard deviations of the mean.

True
False

💡 Hint: Recall the empirical rule percentages.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are testing a new teaching method, and the test scores are normally distributed with μ = 75 and σ = 10. Calculate the two-sided probability for scores between 70 and 80.

💡 Hint: Don't forget to reference the Z-table for probabilities.

Challenge 2 Hard

An IQ test is normally distributed with μ = 100 and σ = 15. Find the probability of scoring between 85 and 115.

💡 Hint: Refer to the empirical rule to check your work.

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