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University of California, Los Angeles
Department of Statistics
Statistics 100A
Instructor: Nicolas Christou
Exam 1
21 October 2010
Name:
Problem 1
(15 points)
Three cards are identical in form except that both sides of the ﬁrst one are colored green, both sides of the second card are
colored blue, and one side of the third one is colored green and the other side blue. The three cards are mixed up in a hat, and
one card is randomly selected and placed down on the ground. If the upper side of the chosen card is colored green, what is
the probability that the other side is colored blue?
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(35 points)
Answer the following questions:
a. Suppose
P
(
A
) = 0
.
3
,P
(
B
) = 0
.
6, and
P
(
A
∩
B
) = 0
.
2. Find
P
(
A
0

B
).
b. You roll two dice repeatedly until you observe the sum of 10 or the sum of 7. What is the probability that the sum of
10 is obtained before the sum of 7?
c. The probability mass function of a random variable
X
is given by
p
(
x
) =
cλ
x
x
!
, with
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This note was uploaded on 02/11/2012 for the course STATS 100A 262303210 taught by Professor Wu during the Fall '09 term at UCLA.
 Fall '09
 Wu

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