Practice Solving Problems Involving Normal Distribution - 20.5 | 20. Normal Distribution | Mathematics - iii (Differential Calculus) - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge

20.5 - Solving Problems Involving Normal Distribution

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify the mean and standard deviation if the data is: Mean = 50, Standard Deviation = 5.

💡 Hint: Look at the parameters given directly.

Question 2

Easy

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.

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 does the Z-score tell you?

  • Mean of the distribution
  • Standard deviation
  • How many standard deviations a score is from the mean

💡 Hint: Remember, Z-scores help in standardizing various scores.

Question 2

True or False: The total area under the normal distribution curve is equal to 2.

  • True
  • False

💡 Hint: Visualize the curve; it reflects total probability.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation