Which of the following is a property of the normal probability distribution?
A)the form, or shape, of the normal curve is often illustrated as a bell-shaped curve
B)two parameters, the mean and standard deviation determine the location and shape of the distribution
C)the standard deviation determines the width of the curve; larger values result in wider, flatter curves
D)approximately 99.7% of the values will be within three standard deviations of the distribution mean
E)all of the above

Question

Quizplus · Accepted Answer

All the options (A, B, C, D) correctly describe properties of the normal probability distribution: A) describes its shape, B) highlights the importance of mean and standard deviation, C) explains the role of standard deviation in determining the curve's width, and D) refers to the empirical rule or 68-95-99.7 rule, which states that about 99.7% of data falls within three standard deviations of the mean in a normal distribution.

Which of the Following Is a Property of the Normal