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# Multinomial Experiments and Chi-Square Distribution

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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.

##### Solution Summary

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

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• BSc, University of Bucharest
• MSc, Ovidius
• MSc, Stony Brook
• PhD (IP), Stony Brook
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