Question

Assessment Give 2 characteristics of the Chi-Square Distribution that are different than the normal distribution. Search entries or author Unread HTML Editor BIVA-AI E3311X X, IEE 2. OD V O D ST 12pt - Paragraph

Answer 1

The 2 characteristics of chi-square distribution that are different from normal are the support for the distribution and the number of parameters.  

1. If X is a random variable with normal distribution, the support for the variable is $-\infty<x<\infty$. If Y is a random variable with chi-square distribution, the the support for the variable is $0<y<\infty$
2. A normal random variable needs 2 parameters to define it, mean $\mu$ and variance $\sigma^2$. A chi-square random variable needs just one parameter to define it, that is degrees of freedom $\nu$

A third characteristic which is different is the symmetry/skewness

A normal distribution is bell shaped and symmetric about the mean, where as a chi-square distribution is right/positively skewed.