 
Summary: SOLUTIONS FOR REVIEW PROBLEMS
MATH 5651, FALL 2011
INSTRUCTOR: PROF. GREG W. ANDERSON
§1.12: 1,2,3,4,8
§2.5: 3,5,6,11,13,15,18,19,23,25,27,29,33
§3.11: 3,5,13,14,15,16
Note: I often use the notation AB = A B to keep formulas short.
Problem 1 of §1.12
The events A and B are not disjoint since the event
A B = "heads come up on both first and seventh tosses"
is not empty.
Problem 2 of §1.12
We have
Pr(Ac
Bc
Dc
) = Pr((A B D)c
) = 1  Pr(A B D) = 1  0.7 = 0.3,
where the crucial first step is an application of DeMorgan's law.
Problem 3 of §1.12
