Practice Applications of Normal Distribution - 20.4 | 20. Normal Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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20.4 - Applications of Normal Distribution

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the empirical rule?

💡 Hint: Think about how data values spread around the mean.

Question 2

Easy

Give an example of how normal distribution is applied in finance.

💡 Hint: Consider how investors evaluate market performance.

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 percentage of data lies within two standard deviations from the mean according to the empirical rule?

  • 68%
  • 95%
  • 99.7%

💡 Hint: Recall the three key percentages defined by the empirical rule.

Question 2

True or False: The normal distribution is used in quality control to determine acceptable product specifications.

  • True
  • False

💡 Hint: Think about how companies maintain quality standards.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A manufacturing company produces bolts with a mean diameter of 10mm and a standard deviation of 0.2mm. If the production output is normally distributed, what percentage of bolts will be within the range of 9.6mm to 10.4mm?

💡 Hint: Remember to convert the measurements to Z using the mean and standard deviation.

Question 2

Discuss the limitations of assuming that stock returns follow a normal distribution in finance.

💡 Hint: Consider real market behaviors and their characteristics.

Challenge and get performance evaluation