math 317 exam 1 - ’ Math 317 Exam 1 Spring 2013 TR...

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Unformatted text preview: ’/ Math 317 - Exam 1: Spring 2013 TR NamezY/l‘l‘i X 'g “a”: : ' r" A’ Read each question carefully. Show all necessary work for partial credit. . A I. An experiment consists of rolling two fair six—sided die. What is the probability that: A) a sum less than or equal to 6 is rolled? B) a sum of six is rolled or one die is a two? hem-m a"; “T 7? Um .9; ' ‘1 3- ski-2.- .I/IV k4? "I- ll p OLI- 7/ '. \ K . _ | _,,..I, . l3 5 [tr :5 a?) C) a prime sum is rolled and one die is odd? a prime sum was rolled given that one die is prime? “1 (23 [3.3” * Maze 2. An experiment consists of spinning a spinner like the one below then rollng a fair six-sided die. A) What is the sample space of equally likely‘eventsri'or experiment? __ C- . z /, g l kg ‘0 I: if“ fl, ‘ “Ta/I: “\u :I {_ I. r "y" liz- t' n ' a R F \ C9.“- ‘ Air-N ‘ 1:\ C.“ '21:: ' 1 "'i j m?) g If}. TO 2 LE” P v' 2\ :5 X \“f‘ v i ‘1)? Red ' r o. ‘C.’ K sh; --» 4:“ i l ' l i {fa-FE ix.)- j ". J.“ :r' ,/ \‘— K" '-\ " / . ‘4 I‘ 1‘: l/fi . .A B) What is the probability of spinning blue or rolling a “3 "? " Green $L%\a “‘7 t“; 5 3 : j: +5—— e “i t . , a s._ l% FE: 1 3 ,7 m. g) What is the probability of spinning red and rolling a prime number? 1;) Q") 7.; “i? L "H Hit". a 9»?- j. :. 1 .g 7 mgfi 3 3. A standardized math test was given to 7th and 8‘“ grade classes at a local middle school. The scores are shown in the table below. _ A student is selected at random. Find the probability that the student: A) scored below average. ,- B) scored above average given that they are an 8th 752.1303 / gm . /’ .1 x A tel/rte \ Bison /. C) is a 7th grader with an average score. D) is an 8th grader or scored above average. \‘ ‘ “4:... :: I v ' '- ._ _- v; I- ". L”- , "’17";- A b _ _ _ / U- z I/ in u f F ‘ 'r- ,7 :j /._ = /‘ fiffr‘“w‘;" 1“ 3 73¢ in: de ; -r ~* F»?- _ r- _ s x” , -‘ “‘_—*- .~ n (a, k --'——~r——)- — = w 7 ~ ms 0U 15-ka 4. One card is drawn from a standard 52 card deck. % h 0 A) WhaI are the odds in faxfgr of drawing a black numbered card? I“ h g i av v a B) Find P(Spade I Face). ‘ (1.3) Find P(Age or Diamond). _ I: 7—“ ' F5“ '1 _?§,_‘irr. I! Y.- Lif‘nj / g/m Arr» » ce.;, 2; - .. .J 5/ j, 3\ "b 4 \‘H \ J: ‘13“ W 5. Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that: A) you drew an ace and then a 10? B) at least onecard is aheart? I E I ‘ gene: : flea 7x ‘t/g} Mex-H’BWLHTXHQ) WWW: : \kfllali®él / fixi‘i r53 ; nag lip/631.32% 8%. C) the second card is a face card given that the first card is the jack of clubs? T; g 2 _ r _ ‘ Y‘ 3%. a t J ‘4}. J ‘1‘ l i J D) you drew a spade and a diamond? _ _‘ r) 1', ‘ bioma‘} J, ? agate. \ 2:: astriagy‘; \31033 33,1 T gigé ,7 misuse A— lug/52%,; 6. A bag contains 4 oranges, 6 lemons, and 4 limes. Two fruit are drawn without replacement. A) Draw a tree diagram to represent this experiment. B) Find P(Orange and then Lemon) Include probabilities on the branches. 14“— X UI 1% 1 r /.f WV. '//4)L\ _ ,. O‘W‘o .2“ fl, v. r \ “fort LI\ 9|”: W W J 6’ Lam. Ame C) Find P(Lime and Orange) :E’ R ‘3‘” i an \ ti. 714133 "J / 562/138. ens / D) Find P(Lemon 2 l Lemon 1) E) Find P(Lime or Lemon) 7. At a certain high school, .3 ° ' . FWt of those who participate in varsity sports are female, while Matthew who do not artici ate in varsi "'~ sports are m e. a stu ent from this school is chosen at random, find the probability that: A) the student is male and participates in varsity B) the student is female. sports. $21. 74 L90 l' PL? 5- "1-2, 41— ‘? 1J3“; ‘ x ‘ ~ . c; r,____. ._- ...-':' 5., ‘ _ ‘1 IIVIX is} V I. a aw _: q “'0' ‘-' “1'51".r ‘ . J L. do ;‘ 'I 1 /, C) the student is male given they participate in varsity sports. / faces of one four-sided die display the numbers 1, 3, 8. A game consists of rolling a pair of special dice. The e probability of 5,and8.0nthesix~sideddie,then bersonthefjicgarel 6,7 -‘ V rollingll‘rimesum ‘ ' ...
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