Final_Sp 07_A_May 2 - MATH 333A Probability Statistics...

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MATH 333A: Probability & Statistics. 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. I pledge my honor that I have abided by the Honor System. ___________________ (Signature) 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) #1 # 2 #3 #4 #5 #6 #7 #8 Total 1 Name: SSN: Section #
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Math 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 high dose and was cured?
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