Question

Normal probability Density Function Use a graphing utility to graph the model probability density function with µ = 0 and ð = 2,3, and 4 in the same viewing window.What effect does the standard deviation ð have on the function?Explain your reasoning.

Answer 1

Explanation:

Hello!

The standard deviation (δ) is a measure of variability, this means, it shows how dispersed the data set is with respect to the mean. The population mean (μ) is a measurement of position. The three graphics have the same position μ=0 but their standard deviations change, this means, the form of their bells is different. The greater the value of the standard deviation, the more dispersed the data is you can see this graphically because the width of the bell will be greater.

Graph attached.

I hope it helps!