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Final Examination
(Spring 2007)
Score
May 9, 2007
NJIT
Instructors
:
S. Dhar,
A. Jain, J. Porus
Must show all steps for each problem to receive full credit.
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1.
The number of messages sent per hour over a computer network has the following
probability distribution:
X = number of messages
10
11
12
13
14
15
f(x) = Probability
0.07
0.16
0.29
0.21
0.20
0.07
a.
Find the mean and standard deviation of X. (5 pts)
b.
Plot the c.d.f. (cumulative distribution function) of X. (5 pts)
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View Full DocumentMath 333A: May 9, 2007
2
.
In an experiment on rats, a new cancer drug is tested in three doses such that 40% of the rats
are given a high dose, 35% a low dose, and 25% receive none at all.
Of the rats who receive
the high dose, 70% are cured, while 50% of those receiving the low dose are cured and only
10% of those not receiving the drug are cured. (5 pts each)
a.
What is the probability that a randomly chosen rat from the experiment received the
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 Spring '08
 prof.jain
 Statistics, Probability

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