題組內容

I. Answer the following problems related to probability and maximum likelihood methods.
A. Let $X_1, X_2, X_3$ be independent and follow normal distributions N (0, 1), N (3, 4), N (4, 9), respectively.

(c) (5%) Compute $P[W_1 > W_2 + W_3]$, where $\sqrt{2} = 1.414$, $\sqrt{3} = 1.732$, $\sqrt{7} = 2.646$, $\sqrt{11} = 3.167$.