2003F_FinalExam_4500_Bip

# 2003F_FinalExam_4500_Bip - RIN name PEA Final Examination...

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12/6/03 1:51 PM 1 _______________________ ______________________ RIN name PEA Final Examination Monday December 15, 2003 Open book, plus a two-sided information sheet. All six questions required for full grade. Please give explicit numerical answers wherever possible, on the same page as the question. Show all work. Q1 15 Q2 15 Q3 20 Q4 15 Q5 15 Q6 20 TOTAL 100

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12/6/03 1:51 PM 2 1. (15) 80% of student email originates at RPI.EDU, 15% at AOL, and 5% at Hotmail. Students are twice as likely to send email to other students who share the same host with them than to those who don't, and equally likely to send email to students at either other host. a. (4) What is the probability that a message from a student at AOL is addressed to some student at AOL? __________________________ b. (4) What is the probability that a message received at AOL originated from AOL? __________________________ c. (4) What is the fraction of messages received at AOL? __________________________ d. (3) What is the probability that a message received at AOL was NOT sent from AOL? __________________________
12/6/03 1:51 PM 3 2. (15) The ECSE department has 5 printers. A toner cartridge lasts exactly 40 days, and it takes 8 days to replace it. The cartridges were

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2003F_FinalExam_4500_Bip - RIN name PEA Final Examination...

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