Fi owl.uwo.ca What is the variance of the number of claims processed? A. 17.50 . "' B. 4.18 ' " C. 4.51 A - D. None of these answers are correct. Reset Selection -' Mark for Review What's This? Mdof17-Q4 mm4af17 WQQESTIONS ARE BASED ON THE FOLLBWING: A emmy hires management trainees for entry level sales positions. Past experience indicates that only 15% will still be employed at the end of nine months. Assume flu mm W u v W iltht deviation of the number of trainees that will still be employed at the end of nine months? noam Gama com oem "'J l.4 .mBi 0wl.uwo.ca . nm is "seal for Situations When sample ObSeYVafionS are replaced in the population when sampling from a "small populafimm," in. um um, l aman"; wa ui "" mw Wifi-OZ Waned" 'mfi QQTIONS ARE BASED ON THE FOLLOWING: Consider the following probability distribution function. 'EE is What is the expected value of X? 'f A. 3.02 ' B. 2.74 '" 6. MLS "7' e. we " " mmemiew What's This? ' 3' En. THEFLLOWING: ' EL: tpmba'bflity distribution function for the number of claims processed per hour at an insurance agency .if": 4+ m " P l Ms (3) LIJ in II *-; , V owl.uwo.ca CJ mfidfl-Qi OusstionSofi? {HE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: c x ter t ' ' ' ompu s ore receives a shipment of 14 computers, 5 of which already have modems installed. Unfortunately, the boxes are not labeled so you are unsure which computers have modems. Am Me computers. What is the probability that exactly two of them have modems? Note the size of the sample that we are taking from such a small population . We must assume sampling without replacement A. 0.3704 ' ' N B. 0.3596 " 0. 0.3012 A' D. 0.3288 Reset Selection 5 Mark for Review What's This} ' ' "' 4 Part60f17-06 Question60f17 THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: On average, there are 1.5 defects in a sheet of rolled steel. Assume that the number of defects follows a Poisson distribution What is the probability of having more than three defects in a roll? A 0.8745 B. 0.1255 e. 0:9344 ' D. 020656 mm 7 am fir Whats This? ' ma -0? ', ga; Jiang} LN THE FOLLOWING: n Weieeuqdamtscomingmtoap 5. Assume that the number of calls follows the Poisson distribution. /' "N' p; it": hone center averages 4.0 every ten minuteEl owl.uwo.ca moon-ar m 7 at w MQmT-IONS ARE BASED ON THE FOLLOWING: Bagpipes you know that the number of complaints coming into a phone center averages 4.0 every ten minutes. Assume that the number of calls follows the Poisson distribution. What is the probability that there are one or fewer calls during the next ten minutes? 'N A. 0.9084 " 8. 0.0916 A 0. 0.0733 "' D. 0.3954 Reset Selection ' A" Mark for Review What's This? canaan-aa Mean m In; IS EXP QUESTIONS ARE BASED ON THE FOLLOWING: . A mputar store receives a shipment of 14 computers, 5 of which already have modems installed. Unfortunately, the boxes are not labeled so you are unsure which computers have modems. mm mom that no more than two of them have modems? v 6 om * 6 am * o m On m yras it? il) E mamas g: M 3 CD FE ED fi owl.uwo.ca (3 [El ii] Ginsfionsoffl THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The number of accidents on a particular highway averages 4.4 per year. Assume that the number of accidents follows a Poisson distribution. What is the probability that there are more than two accidents next year? 7 l A. 0.641 7 8. 0.1125 " C. 0.1851 ' D. 0.8149 Reset Selection 5 Mark for Review What's This? Part100f17-Q10 Question 10 of 17 1k.om A jug contains 5 black marbles and 5 white of black marbles in the two draws, then X has a binomial distribution. marbles well mixedIA marble is removed and its color noted. A second marble is removed, without replacing the first marble, and its color is also noted. If X is the wim-flu! "h' A. True B. False Reset Selection " Mark for Review What's This? was of17-011 munarfi tin can use the Poisson distribution to approximate the binomial distribution With mean nP when P is small and n is large, such that nP is of only moderate size (preferably nPs 7). '.ti} owl.uwo.ca fin uiaptln' qilffijkuj; am slfttpments of parts from two suppliers. 70% of the shipments arrive from a supplier whose shipments typically contain 1'O% detectives. me umm". Mun mm 2096 defectives. A manager receives a shipment but does not know the source A random sam ' ' ' ' ' ' ' - - . ple of 20 items from this shipment are tested, an m r u mm that this shtprnent came from the more reliable supplier? (Hint: Use Bayes theorem to help you solve this.) "oem " flfifi ' ' fi). 0:538 N' B. 0916 MM - Mark for Review What's This? mme-ms amman"? am Accepted characters: numbers, decimal point markers (period or comma), sign indicators (), spaces (eg, as thousands separator, 5 OOO), "E" or "e" (used in scientific notation). NOTE: For MUST be used as the decimal point marker. Gumplex numbers should be in the form (a + bi) where "a' andr'b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Mug a promotional campaign, a cell phone dealer allows purchasers of new cell phones to return them within 30 days if they are dissatisfied with their purchases for any reason. The cost to the Gears 1 " 'T '- is $100. The dealer estimates that 10% of all purchasers will return the cell phones and receive refunds. Suppose that 20 cell phones are purchased. What is the probability that more than 3 v'rv if ' Answer to 2 decimal places. 7 7 7 '" Mark for Review What's This? mm am! - an sl'l'iu'iii'lfli- mama: w ' / ' characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (eg, as thousands separator, 5 OOO), "E" or "e" (used in scientific notation). NOTE: For ::p'-i':"liiii7h iiiitg'tifuia- cmfli'fi'oh' ' lb? used as the decimal point marker. 'i should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. .{51'+1'i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. , . , . ' ' ' ' ' 'ed ' ' hasesforanyreason.mem9 ' i. :;3 r i y.' ml at cam an n, a cell hone dealer allows purchasers of new cell phones to return them Within 30 days If they are dissatisfi With their purc W fi ' ' ' ' m 'A' ) u esfim atpesgthat 15%pof all purchasers will return the cell phones and receive refunds. Suppose that 20 cell phones are purchased. lhe expected number of 'u u . um tm; xm i - , ' Womedwsttothe dealer is dollars. 'u . '$J@Gfl$@w Cf' em ? x 4/ "in; W.-t r'] owl.uwo.ca amman Fm Wars ARE BASED ON THE FOLLOWING: basketball player makes 80 percent of his free throws during the regular season. Consider his next eight free throws. What is the expected number of free throws that he will make? Reset Selection - Mark for Review What's This? M17of17-017 Wnfioffl gm Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (eg, as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For mm" MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {O+9i) is valid whereas {Si} is not. it and Y are jointly distributed random variables. X has an expected value of 3 and a standard deviation of 2 while Y has an expected value of 5 and a standard deviation of 3. mm M u it rn 4. in mmlnm variable W is a linear combination of X and Y and W=3X+5Y. The covariance of X and Y is cov(X,Y)=10. W ANUS EM) = and the variance Var(W) = w it Mum-at; This?fi owl.uwo.ca Who"? 10", Accepted characters: numbers, decimal oi t ' ' ' ' v T be . as the deCimal paint markepn n markers (period or comma), sugn Indicators (), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For notation, mw Complex numbers" should be in the form (a + bi) where "a" and 'b" need to have explicitly stated values. For example: {1+1i} Is valid whereas {1+i} is not. {0+9i} is valid whereas {Si} is not. anggrgotlfnal campaign, a cell phone dealer allows'purchasers of new cell phones to return them within 30 days if they are dissatisfied with their purchases for any reason. The cost to the dealer ef mn am . ea er es Imates that 15 A of all purchasers Will return the cell phones and receive refunds. Suppose that 20 cell phones are purchased. The expected number of computers that will be We and the expected cost to the dealer is dollars. fi Mark for Review What's This? Pert150f17-Q15' '; Question 150f17 mm During a promotional campaign, a cell phone dealer allows purchasers of new cell phones to return them within 30 days if they are dissatisfied with their purchases for any reason. The cost to the dealer of such ram is 3100. The dealer estimates that 10% of all purchasers will return the cell phones and receive refunds. Suppose that 15 cell phones are purchased. it we define the random variable X = it cell phones returned-maj: cost of the returns to the dealer as Y = 100X. then the variance of X is and the variance of the cost Y is dollars. i '" A. 1.91;19100 " B. 0.128;1280 7 c.1.91;191 '. it 7' D. None of these answers are correct. g Mei-egg - ' i l I" Mark for Review What's This? M18d17-Q16 amman MQUESTIONS ARE BASE A basketball player makes 80 percent 0 D ON THE FOLLOWING: this free throws during the regular season. Consider his next eight free throws. What 'B'thi? number of free throws that he will make? AM