MATH 204 Exam 2, Spring 2016

Ys Atti hore Wor 12 Nie NE ary ty leat MANO On the bath ip O bopre MOL DAD OE H Ly MAIVO8 OF the Student counell ve wnd 7 girl ye bs equal to the ©) ” How many Student councils oan be Morente Uv ibiiiyy ek formed, ifeach momber is to take up a Jas ASMINE Wants to fOr a Computer password consisting of 7 letters followed by 4 digit (8%) 8) How many possible passwords can she form? 7 jj KW Le oe Be de oie te = 26 eyo bY) How many Passwords are possible if Jasmine told us that all the letters are distinct ; and that 1" letter is P and the 5 letter Is K? ) = mt ee (4 PSS ERR Oo. eee LS ® BL 420 © BG x2BnpE ro » LoS ©) How many passwords are possible if the 7 letters are (@ASMINE) and that the digits are distinet and odd? s A x Ox Bid 2 ped a here are two restaurants A te letters of her name ® and B ina small town. Suppose that 209 like to dine at neither restaurant. Of those that like to dine in at least one of the two ints 30% like to dine at both. If the number of those that like to dine at only A is $ the number of those that like to dine at only B, find: 4 of the people in the t r aes ) \ Ne Wr ri ®) Atay PEA'AB 2.29 [>> PeAv PCA'AG') = te%s , —> KAVa'=.20 |= Jo. PCANRYs0.0 > \- P(wad= 20 » PLA) = 3% a“, POS PCASBDS= PCADG OC B) -PCAn, °o-? sPCAD+OCAY -O0 PCH 32RD _ S328 DY 5.03! 10. A corporation Uses a selling experience has sho Y shown that 70% a classification of satisfact ph alana cre Siiateea ear 8 pare position achieved hose classified as satisfi 5 satisfactory, 90% the aptitude test fi c test. : Only 40% of those classified as Nitude test sal 10 aid it in the selection of its sales f Of its sales force. Past Fe.) had scored a passing grade oy unsatisfactory had passed the : S ic th Construct a tree diagram, « Ifone candidate is selected randomly, what is the probability thst a) He passed the test knowing that he has been classified 2s o PCP UD PEOR = ©3xe%>_ PC uw O-% b) He got a passing grade on his test PCP) = Cotx0s>- He would be a satisfactory sales person € c) on his test? ; *saP!') PC SIP = xee> °.o2- > OS €) He didn’t get 2 pessing B= oF PCPU SY = P@D+PCSZ ~ (\-625)+* 6-25 <2-* — classified 2s stscury 11. Ina bag there ar re 100 balls ihcGihors renee ata green and blue. Half of the b number of'red and green balls GP ote als are a ba an hee eae é ot blue and there are the S, 15 of the red balls have black strip fade a the s, and a 7/8 of the bluc are plain Me. KO Cleo-co \ is% ) +_Construct a table showing all the information mm (aa tee 3a sh rae ormation. Qey . 3 (é -\ 630 C429 a) Red knowing it is plain? PCRIP= PLRAPS ecoS b) Green or with black strips? PCEUSD = PCE>* zeae. so a = Pe ceo oa wee oe ¢)_ Neither blue nor with black strips? Peains asus) = CS" s> =\ -Lao~ 2 - © If three balls are selected at randor a) They all have the same color? ee ASS SIGS i yo C3 They all have different colors? b) yor CY UL’ c) Only one is with black strips? sot. & OCR ar SOO es d) The 1*two have a strips the 3rd is plain? ees ret © Are the events * “red” Pn, “with black ae aera Explain. 22. BONS Sa PCRI~ AZ Wes ecsd> = ta Se rt y aie BB cake ae wr telahealels poras>= 5S Are the events “ “green” an PEAR =O Yer Was, one pula y exclusive? Explain. Nuri 5 J “plain” mutual!