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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Z-score for a value of 120 if μ = 100 and σ = 15?
💡 Hint: Use the formula Z = (X - μ) / σ.
Question 2
Easy
What does it mean if P(X < a) = 0.85?
💡 Hint: Think about what a cumulative probability indicates.
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?
- The position of a value in a distribution
- The mean of a distribution
- The probability of a value
💡 Hint: Think of Z-scores as a way to standardize values.
Question 2
True or False: The area under the normal distribution curve totals 2.
- True
- False
💡 Hint: Recall the properties of probability distributions.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A normal distribution of weights has μ = 150 lbs and σ = 25 lbs. Calculate the probability that a randomly selected individual weighs between 140 and 160 lbs.
💡 Hint: Find Z-scores first.
Question 2
In a normally distributed data set, you want to find what score corresponds to the 95th percentile where μ=70 and σ=10.
💡 Hint: Use the Z-table to find the corresponding z value first.
Challenge and get performance evaluation