STAT 400
Spring 2012
Homework #2
(10 points)
(due Friday, Feb 3, by 3:00 p.m.)
No credit will be given without supporting work.
1.
Bob is applying for a job with five companies.
At the first company, he is in
the final group of four applicants, one of which will be chosen for the position.
At two of the five companies, Bob is one of ten candidates; and at the last two
companies, he is in an early stage of application in a pool of 25 candidates.
Assuming that all companies make their decisions independently of each other,
and that Bob is as likely to be chosen as any other applicant, what is the
probability of getting at least one job offer?
2.
At
Initech
, 50% of all employees surf the Internet during work hours.
20% of the
employees surf the Internet and play
Solitaire
during work hours.
It is also known
that 60% of the employees either surf the Internet or play
Solitaire
(or both) during
work hours.
a)
What proportion of the employees play
Solitaire
during work hours?
b)
If it is known that an employee surfs the Internet during work hours, what is the
probability that he/she also plays
Solitaire
?
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 Spring '08
 Kim
 Statistics, Probability, Noah

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