20.5 - Solving Problems Involving Normal Distribution
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Practice Questions
Test your understanding with targeted questions
Identify the mean and standard deviation if the data is: Mean = 50, Standard Deviation = 5.
💡 Hint: Look at the parameters given directly.
Convert a raw score of 90 to a Z-score if the mean is 80 and standard deviation is 10.
💡 Hint: Use the Z-score formula when given X, mean, and standard deviation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Z-score tell you?
💡 Hint: Remember, Z-scores help in standardizing various scores.
True or False: The total area under the normal distribution curve is equal to 2.
💡 Hint: Visualize the curve; it reflects total probability.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A factory's defect rate is normally distributed with a mean of 3 defects per 1000 units and a standard deviation of 1 defect. Find the probability that out of 1000 units, the defects will be fewer than 1.
💡 Hint: Always convert raw scores to Z-scores before looking up the tables.
In a population with a mean of 160 cm and a standard deviation of 20 cm, find the height at which 90% of individuals are below.
💡 Hint: Look up the correct area in the Z-table and backtrack to find the raw data score.
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