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Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Z-score for X = 54 when X ~ N(50, 8)?
💡 Hint: Use Z = (X - μ) / σ.
Question 2
Easy
If P(Z < 1) is 0.8413, what is P(Z < -1)?
💡 Hint: Look at the symmetry of the distribution.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the Z-score when X = 60, μ = 50, and σ = 10?
💡 Hint: Remember the Z-score formula.
Question 2
True or False: In a normal distribution, mean, median, and mode are equal.
💡 Hint: Think about the symmetry of the distribution.
Solve and get performance evaluation
Push your limits with challenges.
Question 1
A factory produces part sizes that are normally distributed with a mean of 50mm and a standard deviation of 5mm. What is the probability that a part will be between 47mm and 53mm?
💡 Hint: Use Z = (X - μ) / σ to convert.
Question 2
If test scores are normally distributed with a mean of 75 and a standard deviation of 10, what score would you need to be in the top 2%?
💡 Hint: Use the standard Z-table for the 98th percentile.
Challenge and get performance evaluation