Discussion:
1. 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.
2. The shape of the chi-square distribution looks lop-sided compared to the bell shaped curve. Why are these shaped differently?
• 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.