Let \(Y\) be \(\operatorname{binomial}(n=4=3)\).
(a) Calculate the mean and variance by lling in the following table:

i. \(\mathrm{E}[Y]=\)
ii. \(\operatorname{Var}[Y]=\)
(b) Calculate the mean and variance of \(Y\) using Equations 5.7 and 5.8, respectively. Do you get the same as you got in part (a)?

Equation 5.7 and 5.8

Transcribed Image Text:

Yi f(yi) Yi f(yi) y f(yi) 0 1 2 3 4 Sum