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ECEN 689  Statistical Computation in Genomic Signal Processing
Final Exam – Fall 2009
Exam Policy
:
•
The exam is closedbook, closednotes.
•
Please do not use calculators and turn oﬀ your cellphones, Ipods, etc.
•
To make accurate grading possible, please write your solutions cleanly and concisely.
•
Any questions you have about the exam should be possible to ask publicly.
•
Please initial all the pages of your solutions.
Problem 1.
(30 points)
A compound produces the following mass spectrum (where peaks with height smaller than 0.1
were discarded):
Given that the compound contains only C, H, and O, ﬁnd the formula of the compound. Recall
that C is a X+1 element and O is a X+2 element, with isotopic ratios 1:0.0108 and 1:0.00205,
repectively. Use the approximation 45
×
0
.
0108
2
= 5
.
2
×
10

3
.
Problem 2.
(20 points)
This problem concerns hypothesis testing. Assume that the analysis starts with 1000 genes,
only 100 of which are in truth diﬀerentiallyexpressed.
(a) Application of a test to each gene outputs a list of 144 genes. Later validation establishes
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 Spring '10
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 Signal Processing

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