BTRY/STSCI 4080 Homework # 5
Due Date: 10/7/10
Problem numbers beginning with P (e.g., P1) denote problems from the “PROB-
LEMS” section; those beginning with T (e.g., T1) denote problems taken from the
“THEORETICAL EXERCISES” section.
1.
Ross:
p 102, P15
2.
Ross:
p 102, P18
3.
Ross:
p 103, P23
4.
Ross:
p 104, P32
5.
Ross:
p 105, P46
6.
Ross:
p 105, P57
7.
Ross:
p 107, P64
8.
Ross:
p 113, T25
9. Suppose we toss two fair die.
Determine the probability that at least one of the dice
lands on a 4, given that the sum of the two dice is
i
? Compute this probability for
i
=
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
,
12
.
10. You are a contestant on the 1970s era game show
Let’s Make a Deal
with your host
Monty
Hall
. In front of you are three doors, labled 1,2,3. Behind one door is a car; behind the other
two are goats. The car and goats are randomly placed behind the doors – your beguiling host
Monty knows which door hides the car, but you do not. You are asked to select a door and