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IE 111 Fall Semester 2011
Homework #2 Solutions
Question 1
An order for a personal digital assistant can specify any one of five memory sizes, any
one of three types of displays, any one of four sizes of a hard disk, and can either include
or not include a pen tablet. How many different systems can be ordered?
Answer: 5×3×4×2=120
Question 2
A manufacturing operation consists of 10 operations. However, five machining
operations must be completed before any of the remaining five assembly operations can
begin. Within each set of five, operations can be completed in any order. How many
different production sequences are possible?
Answer: 5!×5!= 14400
Question 3
In the circuit below, let
i
A
be the event that switch i is closed.
a)
Write an expression for the event A that there is a current path from point 1
to
point 2
b)
The switches operate independently and are closed with probability p. Find the
probability of event A.
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View Full DocumentAnswer a) A= A1
•
(A2
•
A3+A4)
•
A5= A1 A2 A3 A5 + A1 A4 A5
c)
P(A)= p(pp+p)p  ppppp=
5
3
4
p
p
p

+
Question 4
In the laboratory analysis of samples from a chemical process, five samples from the
process are analyzed daily. In addition, a control sample is analyzed two times each day
to check the calibration of the laboratory instruments.
a)
How many different sequences of process and control samples are possible each
day? Assume that the five process samples are considered identical and that the
two control samples are considered identical.
Answer:
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 Fall '07
 Storer

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