Mat 452 — Winter 2016 Name:
Dr. C. Sehmegner
Test 2
1. The joint probability density function for the random variables Yl and Y2, which are
proportions of two components in a sample from a mixture of insecticide is given by:
.f(y1,y2)={ “ “ h
0) elsewhe

Mat 451 Name:
For full credit, show your work.
Test 1 -
1. Let. Y1 and V; have the joint probability density function given by
113311312:
fiyis y?) = { 0) elsewhere
a. Find the value of k that makes this a probability density function.
“ i I I} If bi.”

Mat 452, Winter 2012
For full credit, show your work.
Name:
Test 1
1. Let Y1 and Y2 have the joint probability density function given by
f (y1 , y2 ) =
ky1 y2 , 0 y1 1, 0 y2 1
.
0,
elsewhere
a. Find the value of k that makes this a probability density fun

Mat 451
For full credit, show your work.
Name:
Test 1
1. Let Y1 and Y2 have the joint probability density function given by
f (y1 , y2 ) =
ky1 y2 , 0 y1 1, 0 y2 1
.
0,
elsewhere
a. Find the value of k that makes this a probability density function.
b. Fin