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Probability and Statistics for Engineering
Homework 2
Spring 2011
(due Tuesday, February 1)
(1)
If a prospective student first visits Washington University on a day when the weather is good, there
is a 60% chance that he or she will apply to WU.
If the first visit occurs on a day when the weather
is fair, there is a 44% chance that he or she will apply.
If the first visit occurs on a day when the
weather is bad, there is a 20% chance that he or she will apply.
(You may assume that every
prospective student visits.)
The weather at WU is good 35% of the time, fair 50% of the time, and
bad 15% of the time.
If a prospective student decides
to apply to WU, what is the probability
not
that he or she first visited on a day when the weather was fair?
(2)
Find the value of
which makes the following function a density for a discrete random variable
.
\
0ÐBÑœ†ÐÞ#Ñ
Bœ$ß%ß&ßá
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 Spring '09

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