ST371
Tom Gerig
1
ST371
Midterm Examination I
May 29, 2008
Closed books and notes.
You may use one page of notes (8½ by 11, both
sides, any content).
You will need a calculator.
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ST371
Tom Gerig
2
1.
Suppose that
1
1
(
)
and (
)
4
8
P A
P B
=
=
.
(a)
Find the value of
when
(
P A
B
∪
)
and
A
B
are mutually exclusive
(b)
Find the value of
when
(
P A
B
∪
)
and
A
B
are independent
2.
It is known that a patient with a certain disease will respond to a certain treatment with
probability equal to 0.8.
If three patients with the disease are treated and respond
independently, find the probability that at least one will respond.