S515 HW#3 SOLUTION
(due on Monday 10/21/13)
Professor H.K.Hsieh
4.49 Let Y be the time of an arriving call. Then Y has a uniform distribution on the
interval (0, 1), then P(Y in non-busy time period) = 1 15/60 =1-1/4 = = 0.75.
4.53
Let Y = time when the d
May 11, 2011
Prof. H. K. Hsieh
Solutions to Stat 515 HW #6
6.1
f (y ) = 2(1 y ), 0 < y < 1
(a). U1 = 2Y 1. The one-to-one transformation u = 2y 1 leads to y = (u + 1)/2,
0 < (u + 1)/2 < 1, 1 < u < 1. dy/du = 1/2, the pdf of U1 is
g (u) = 2(1 (u + 1)/2) (1
Prof. H. K. Hsieh
Stat 515 Final Exam Practice Problems + Solution
Students Name:
Section:
.
NOTE: Write main steps of your work clearly and circle your answers.
1. Suppose that the joint p.d.f. of X and Y is given by
f (x, y ) = 8xy, 0 < x < y < 1
=0
els
Stat515
HW#1 Solutions
09
/
A = cfw_FF, B = cfw_MM, C = cfw_MF, FM, MM. Then, AB = 0 , A B =cfw_FF,MM,
/
AC= 0 , A C = S, BC = cfw_MM,
B C = C, C B = cfw_MF, FM,
2.1
2.8 a. 36 + 6 = 42
b. 36-3=33
c. 63-36-6=18
2.10
a. S = cfw_A, B, AB, O
b. P(cfw_A) = 0.4