UNIVERSITY OF CALIFORNIA, SANTA BARBARA
Department of Statistics and Applied Probability
PSTAT 120A, Probability and Statistics I
Final Exam (100 points), 6/11/08
YOUR NAME:
...........................
YOUR PERM NUMBER:
.........................
YOUR TA’s NAME:
.........................
YOUR SECTION TIME:
............................
IMPORTANT
:
The exam is closed book. Calculators are OK, except cell phones.
A formula sheet is provided at the end (you
do not
necessarily need all the
formulas) and space is given to write your answers. Please write all your answers
on this exam. You are given 180 minutes to answer eight questions.
Please
justify your answers
. A numerical answer without explanation is not
suﬃcient for full credit.
When you turn it in, please show us your picture ID.
Questions start on the next page.
GOOD LUCK!
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[10 points]
In a small African town there are a few malaria cases and the
typical symptom is headache. A malariafree person can also experience
headache with 5 percent probability, but malaria causes headache with 80
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 Spring '09
 ENGLANDER
 Statistics, Probability, Probability theory, ........., probability density function, Headache

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