Question 1: In a normal distribution with mean μ = 50 and standard deviation σ = 8, approximately what percentage of values fall within two standard deviations of the mean?
Topic: Probability and Statistics
- 90%
- 68%
- 99.7%
- 95% (Correct Answer)
Explanation
The empirical rule (68-95-99.7 rule) states that in a normal distribution, approximately 95% of values fall within two standard deviations of the mean. This means 95% of values lie between μ - 2σ and μ + 2σ, or between 34 and 66 in this case. This rule is fundamental for understanding normal distributions.
