Practice Solving Problems Involving Normal Distribution - 20.5 | 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

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

πŸ’‘ 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.

πŸ’‘ 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

πŸ’‘ 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

πŸ’‘ 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.

πŸ’‘ 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.

πŸ’‘ Hint: Look up the correct area in the Z-table and backtrack to find the raw data score.

Challenge and get performance evaluation