SUPPLEMENTARY EXERCISES FOR CHAPTER 2
43
P C
D
P C
P D
P C
D
P C
P D
P C P D
0 95
0 7
0 95
0 7
0 985.
P
A
B
C
D
P A
B
P C
D
P A
B P C
D
0 98
0 985
0 98
0 985
0 9997.
3.
Let
A
denote the event that the resistance is above specification, and let
B
denote the event that the resistance is
below specification. Then
A
and
B
are mutually exclusive.
(a)
P
(doesn’t meet specification) =
P A
B
P A
P B
0 05
0 10
0 15
(b)
P B
A
B
P
B
A
B
P A
B
P B
P A
B
0 10
0 15
0 6667
5.
Let
R
be the event that the shipment is returned. Let
D
1
be the event that the first fuse chosen is defective, let
D
2
be the event that the second fuse chosen is defective, and let
D
3
be the event that the third fuse chosen is
defective. Since the sample size of 3 is a small proportion of the population size of 10,000, it is reasonable to
treat these events as independent, each with probability 0.1.
P R
1
P R
c
1
P D
c
1
D
c
2
D
c
3
1
0 9
3
0 271.
(If dependence is taken into account, the answer to six significant digits is 0.271024.)
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 Fall '11
 MattGilg
 Statistics

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