Next: About this document ...
Some answers to Sample Problems for Test 1
 4.
 a) S = (1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),
(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)
b)
 5.

 6.
 a)
b)
, where
and
 7.
 a)
b)
, where
and
 8.
 a)
b) It is easier to state the problem in terms of the complement:
prob =
 9.
 a)
b)
c)
 10.
 a)
b)
 11.

 12.
 a) Let = number of defective items in 50 produced. Set n=50, p=0.02, q=0.98.
Prob. at most one is defective = Prob. either none or one is defective =
.
b) Set
. As before, let = number of defective items in 50 produced. Now,
Prob. At most one is defective = prob. either none or one is defective =
=
.
 13.
 a)
(see table)
b)
.
c)
.
 14.

.
Orlando Merino
20001002