Practice Partial Differential Equations - 20. | 20. Normal Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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Partial Differential Equations

20. - Partial Differential Equations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define Normal Distribution in your own words.

💡 Hint: Think about its shape and what the peak represents.

Question 2 Easy

What is the Empirical Rule?

💡 Hint: Consider the percentages and how they relate to standard deviations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the shape of the Normal Distribution?

Square
Bell-shaped
Triangle

💡 Hint: Think about how its graph looks.

Question 2

True or False: In a Normal Distribution, the mean, median, and mode are all different.

True
False

💡 Hint: Think about what defining characteristics it has.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A manufacturing plant produces light bulbs with a mean lifespan of 800 hours and a standard deviation of 50 hours. Calculate the probability that a light bulb lasts more than 850 hours.

💡 Hint: Consider using the Z-table to find areas and make your probability calculation.

Challenge 2 Hard

In a study, the test scores of students follow a Normal Distribution with a mean of 75 and a standard deviation of 10. What is the probability that a student scores between 70 and 80?

💡 Hint: Use the Empirical Rule or Z-table for required probabilities.

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