# Multinomial Experiments and Chi-Square Distribution

1. Chapter 10 introduces us to multinomial experiments. What is the difference between a multinomial and a binomial experiment? Please give me an example.

? Multinomial experiment: Experiment with a fixed number of independent trials, where each outcome falls into exactly one of several categories.

? Binomial experiment: Experiment with a fixed number of independent trials, where each outcome falls into exactly one of two categories.

? Example: (I just need an example. Thanks.)

2. The shape of the chi-square distribution looks lop-sided compared to the bell shaped curve. Why are these shaped differently? (This is what I have so far please see below. Is there anything that I am missing?)

? Unlike the normal and Student t distributions, the chi-square distribution is not symmetric.

? The values of the chi-square distribution can be 0 or positive, but they cannot be negative.

? The chi-square distribution is different for each number of degrees of freedom.

https://brainmass.com/statistics/chi-squared-test/multinomial-experiments-and-chi-square-distribution-39677

#### Solution Summary

Multinomial Experiments and Chi-Square Distribution vs. Bell-Shaped Curve are investigated.