ECE 603  Probability and Random Processes, Fall 2010
Homework #1
Due: 10/1/10, in class
HW #2 will be posted 9/24/10, also due 10/1/10.
1. You are a contestant on a game show, where you are asked a sequence of five questions, each worth a
certain number of points:
Question 1: 10 points
Question 2: 10 points
Question 3: 10 points
Question 4: 20 points
Question 5: 30 points
You answer all five questions. For each question you get correct, you get the corresponding number
of points. If you score more than 25 points total, you win the game. If you score less than 25 points
total, you lose the game.
Let
be the event that you get question
correct. Based on your general knowledge, you are able to
construct the following probability model:
,
, and
.
,
, and
form a partition.
and
.
is independent of all of the other events.
(a) Find
, the probability that you get Question 4 correct.
(b) Find
, the probability that you get Question 3 correct.
(c) Let
be the event that you win the game. Write a set expression (unions and intersections) for
the event
in terms of
,
,
,
, and
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 Fall '10
 DennisGoeckel
 Probability, Englishlanguage films, Dice, Oscar

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