CEE 202 – Engineering Risk & Uncertainty
Homework 1
Spring 2011 (Bond)
Sample space, enumeration, probability
1/4
Assigned:
19 January 2011
Due
:
26 February 2011
1. Did you read the syllabus? (10 points)
a) If you have a conflict with the exam time, what should you do?
Notify’instructor’one’week’in’advance,’see’if’makeup’can’be’scheduled
’
b) When can you no longer get credit for late homework?
After’the’solutions’are’posted’on’Tuesday
’
2. (12 points)
Describe each of the following sample spaces by listing the outcomes:
(a)
The set of integers between 1 and 50 divisible by 7;
{7,’14,’21,’28,’35,’42,’49}
’
(b)
The set S = { x  x
2
+7x + 12 = 0, x integer}
{3,’ 4}
(c)
The set of outcomes when a coin is tossed until a tail or four heads appear
(For example, use HTT to indicate head first, tail second, tail third)
{T,’HT,’HHT,’HHHT,’HHHH}
(d)
The set
S
= {x  x is a planet orbiting our Sun}
{Mercury,’Venus,’Earth,’Mars,’Jupiter,’Saturn,’Neptune,’Uranus}
’
Students’MAY’include’Pluto
—as’professor’still’wants’Pluto’to’be’a’planet
3.
(10 points)
In a process to apply spray coating to a fiber, several factors influence
coating quality: the difference in electrical charge between the fiber and the spray
droplets, the number density of spray droplets, the temperature of the coating
chamber, and the length of time the fiber is exposed to the spray. If you would like to
compare the effects of 3 charge levels, 5 number density levels, 4 temperature levels,
and 3 exposure times, how many experiments would you have to do?
This’can’be’solved’by’the’generalized’multiplication’theorem.’
’
3’x’5’x’4’x’3’=’180
’
4. (10 points)
Engineering students at Illinois are classified by whether they are
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