McGill University, Faculty of Engineering
Course ECSE305A: Probability and Random Signals I
Midterm Examination #2, Fall 2005
Date and time:
Friday, November 11, 2005, 10:35  11:25
Examiner:
Prof. B. Champagne and Y. Psaromiligkos
Instructions:
This is a closed book examination: only the faculty standard calculator is
allowed, NO crib sheet. Attempt all questions.
NOTE:
this exam spans 2 pages
1.
Assume that the amount of beer in beer bottles of a certain make is normally distributed
20 marks
with mean value 350ml.
(a) If the beer maker is required to ±ll at least 95% of its bottles with 345ml or more,
what is the largest allowable standard deviation for the amount of beer in a bottle.
(b) Suppose we buy 10 cases of 24 beer bottles from this make, what is the probability
that 2 bottles or more do not meet the above requirement.
2.
Consider a recti±er circuit with input/output characteristic given by the equation
20 marks
Y
=
0
,
when
X <
0
X,
when 0
≤
X
≤
3
1
,
when
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 Spring '09
 Champagne
 Normal Distribution, Standard Deviation, Probability theory, Prof. B. Champagne, Engineering Course ECSE305A, Y. Psaromiligkos Instructions

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