99ffx-t - University of Ottawa NAME: Time: 3 hours Total...

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ADM 2303 Final Examination - 1 - December 20, 1999 University of Ottawa Faculty of Administration ADM 2303: STATISTICS FOR MANAGEMENT I SPECIAL FINAL EXAMINATION January 2000 NAME: S.N. Section: A B C D Time: 3 hours Total marks:60 ALL ANSWERS (INCLUDING BRIEF EXPLANATIONS) GO ON THE ANSWER SHEET. THE EXAM QUESTION SHEETS WILL NOT BE MARKED, though space is provided here for your rough work. The question sheets must be deposited in the box provided. NOTE THAT THERE ARE MARKS FOR EXPLAINING YOUR ANSWERS, SO MAKE SURE YOU INCLUDE BRIEF EXPLANATIONS ON THE ANSWER SHEET. THERE ARE MARKS FOR IDENTIFYING PROBABILITY DISTRIBUTIONS. Calculators, 1 sheet of notes, on 8.5" by 11" paper (no stick-ons!). You do not need to interpolate, but take the nearest table value. Q 1. The Ottawa area now has approximately 340,000 households. About 0.0082% of these have annual incomes exceeding $10,000,000. On the other hand, about 27.3% households have income exceeding $48,000 per year. Suppose Statistics Canada sends out a "long" census form that asks about income to 1 household in 10 in Ottawa. Other forms do not ask about income, so we are only interested in the "long" form. a) [3] What is the probability no returned form has an income exceeding $10,000,000? b) [ 3 ] What is the probability 2 forms or more are returned with income exceeding $10,000,000? A statistician pulls 10 returned forms at random from those returned. c) [ 3 ] What is the probability he finds none with income > $48,000?. d) [ 3 ] What is the probability he finds 3 forms with income > $48,000? e) [ 5 ] The statistician now expands his/her checks and pulls 300 forms at random. What is the probability more than 92 have income >$48,000? f) [ 4 ] The statistician has 11 forms reporting incomes exceeding $1,000,000 on his/her desk. Another employee, in violation of the Statistics Act, manages to sneak a look at 5 of the forms in order to find out who are the single millionnaires in order to follow the advice of the film "How to marry a millionnaire". If 4 of the 11 forms are from single millionnaires, what is the chance the sneak learns about at least 2 single millionnaires?
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ADM 2303 Final Examination - 2 - December 20, 1999 Q 2. Power glitches are a serious problem for computer tape backup. The backup tape drive streams data onto tape at 1.25 Megabytes (MB) per second. A power glitch means we will likely need to start over. (We discover this by doing a file compare of tape to our disk after writing the tape.) Glitches occur randomly at any time at a rate of 2.1 per 24 hours. a) [ 5 ] You need to back up 6.5 Gigabytes of data. (1GB = 1000 MB). What is the probability of no glitches during the backup? b) [ 3 ] The boss now wants you to back up the whole office -- 190 GB. You plan to do this on a set of tapes, each of which holds 10 GB of data and takes 135 minutes to write (we include some setup time here so that the numbers do NOT perfectly match with the rate given above). What is the probability of no glitch on a single tape?
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99ffx-t - University of Ottawa NAME: Time: 3 hours Total...

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