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Economics 41
Statistics for Economists
UCLA
Fall 2010
Homework Assignment 2.
Due date: October 14, 2010.
Your Name:
Your TA’s Name:
NOTE: Please show your calculations for Questions 1, 311, 1415. The exercises are
from the textbook (Tannis and Hogg: A Brief Course in Mathematical Statistics).
Conditional Probability.
1. A fair coin is ﬂipped twice. Let the events
A
= “the ﬁrst toss is heads”
, B
=
“the second toss is heads” and
C
= “at least one toss is heads”
.
Determine the
following probabilities.
(a)
P
(
B
)
(b)
P
(
B

A
)
(c)
P
(
B

C
)
(d)
P
(
C
)
(e)
P
(
C

A
)
(f)
P
(
C

B
0
)
2. Two independent events are:
(a) always mutually exclusive events
(b) never mutually exclusive events
(c) always complementary events
(d) always subjective events
3. An independent research team inspects 500 batteries manufactured by two compa
nies for being good or defective. The following table gives the twoway classiﬁcation
of these 500 batteries.
Good
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 Spring '07
 Guggenberger
 Economics, Probability, Probability distribution, Probability theory, mutually exclusive events

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