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

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Normal Distribution in your own words.

πŸ’‘ Hint: Think about its shape and what the peak represents.

Question 2

Easy

What is the Empirical Rule?

πŸ’‘ Hint: Consider the percentages and how they relate to standard deviations.

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 shape of the Normal Distribution?

  • Square
  • Bell-shaped
  • Triangle

πŸ’‘ 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

πŸ’‘ Hint: Think about what defining characteristics it has.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

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

Question 2

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?

πŸ’‘ Hint: Use the Empirical Rule or Z-table for required probabilities.

Challenge and get performance evaluation