STATISTICS 224        Assignment 6        Due  Mar. 11, 2004

Exercises from the textbook, "Probability & Statistics for Engineers"
by R. Johnson

Section 5.10:  5.71, 5.76, 5.78, 5.79, 5.83(a),(b) (Hint for (a):
first `verify' that X_1 and X_2 are independent r.v.'s;
Hint for (b): determine prob. that ( X_1, X_2 ) is contained
within the region (x_1)^2 + (x_2)^2 <= u, for any u > 0,
use change to polar coordinates x_1 = r cos ( theta ),
x_2 = r sin ( theta ),  dx_1 dx_2 = r dr dtheta), 5.86,
5.90, 5.91, 5.92 (note for (b): total time for checking 200 chips is
X_{1,1} + X_{1,2} + X_{1,3} + ... + X_{1,200} ),

Section 5.12:  5.95, 5.96, 5.97(a)