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Exam 2 - Math 1660 Exam ‘ Miriam I‘ Use the following...

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Unformatted text preview: Math 1660 Exam ‘ Miriam I‘ Use the following Venn diagram to answer the following questions Determine the number of elements in B' a) 30 b) 33 © 26 d) 3 e) None ofthese (w) I (17 Answer“; Determine the number of elements in 11er B'. ——\. a) 7 b) 49 c) 52 d) 42 {By None ofthese / f flijfn Answer t, 2A. person purchasing a new car has several options: 6 interior choices, 5 exterior color choices, 2 choices of stereo equipment, and 5 choices of body styles. How many distinct cars are possible if one choice is made for each option? a) 600 b) 150 c) 60 d) 18 is); 300 F ' f .’ w J'Q' - Answer if 3_ Roll two dice. ( one red and one white). Event A 2 { 1,5 and 5 shows on white} 5/{g l? ‘ . ‘3 l 2 d, Event 8 = sum = 5, 7 and 11} 1/ . x 31“,? { /Zt; ' H4, . Are A and B IND‘? “j a) Yes bliNo .— — - 1 C 4. How many'll‘i _ ode words are possible from the first 8 letters of the alphab'ali '1 ers can not be repeated? 3) 32 b) 960 c) 4096 ( d) .2744 6) None of these (I . "H7 , r in Answer 0 5. If 350 people read the Daily News, 210 people read the Times, and 500 people read either the Daily News or the Times or both, how many people read BOTH the 11me News and the Times? @260 b) 560 c) 150 d) 1060 e) None ofthese ,. $ “Ir. '- " b : Answer /’ 61A survey of 800 people indicates that 340 have invested in stocks, 280 have invested in bonds, and 105 have invested in stocks and bonds. How many have invested in NEITHER stocks nor bonds? a) 515 b) 695 c) 105 @2235 e) 130 31.11] 4.1-1.1 I , :1 WSL'FU" '1‘. Ji'. 7. In a group of 45 students, 15 take a math class, 10 take a physics class, and 7 take both math and physics. How many students do not take a math or a physics class? (a) 27 b) 38 c) 13 d) 18 e) None ofthese 1‘ 1 ”Z 2 1‘ r . _ l ‘— “ 1L1 7 . 7; Answer [l 8. From a group of 24 students at a local high school, how many ways can 3 students be chosen to fill the positions of president, vice president, and treasurer on the student council? :1) 72 @911144 c) 3 d) 13,824 e) 6 1 Answer 1 Qtl 9'5 __—. 9. A man goes to a pastry shop that offers 15 different pastries for sale. He decides to eat 3 pastries each day until he has tried every possible grouping of pastries. How many days will he be eating pastry ifthe order in which he eats the 3 pastries each day does not matter? a) 455 b) 2730 o) 2926 d) 1330 e) 45 Answer _ 1" ISM; 10. A box contains 3 red, 2 white, 9 black, and 5 yellow marbles. We choose a sample space for a single draw to be S 2 {1%, W, B, Y}. Which ofthe following is the most reasonable probability assignment for this sample Space? a) P(R):l.P(W):lJP(B)=i,PtY)=l 4 4 4 4 b) 1133):;P(W)=%,P(3)=%,p(y)=% c) P(R):1, P(W) :0, 19(13): %, Pg) :12. E9 P(R)=%,P(W)=%,P(B)=%, “”139 E2) P001: PtW}:%, HR) :1, HY) : o 25 y 5* ‘ AnSWer -. l l 1.A committee ol'S people is to be chosen from a group of 3 men and 5 women. If the people are randomly chosen for the committee, what is the probability that the committee will consist of 5 men and 3 women? *5 3 C + C 3 / C - C 8 (a ___-_ b s s 5 3 7 d s s 5 3 , 7 / )8 5 ) 13Ca fl 8 0 ”Cs *9/13 Answer 12. A computer store receives a shipment of 30 laptOps, including six that are defective. Five of these laptops are selected for display. What is the probability that exactly two of those selected are defective? a) (9)5332; C24,3_ c) Cm "'C24,3 C39,: Cm C30,: C305 C311,: ll 38 Answer E, 13. An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Assuming each simple event is as likely as any other, find the probability that'the sum ofthe dots is an “8” or an ‘_‘1 1 a) 0.22222 b) 052778 5) 0.05556 (_dy‘ 0.19444 e) 0.16667 . 2 to 1) Answer _bu—_ id 14. A box contains 6 red chips and 2 white chips. Two chips are to be drawn in succession without replacement. What is the probability that the sample will contain exactly one white chip and one red chip? a) 0.333 [ b10429 c) 0.417 d) 0.167 c) 0.500 ' ' r i — i’ f 'r ' l ‘ if '2 J P Answer 1' . - 15- A certain retail store knows that the average spending of its customers during the month of December is $223.54 with astandard deviation of $51.75. If you randomly select 41 customers from this retail store, what is probability that their mean spending will biz-less than $201.13? a] [“654 1:.) 0.4972 (5) 0.0023 ,_- 0-3336 P. i i it 4 9.31 13 Answer 1‘: _____‘ 2 <— 7371' l?” 16. In which of the following cases may it be assumed that the sampling distribution of sample means is normal or at least approximately normal? I. The population has a normal distribution and random samples of size n = 10 are selected. II. The population has a distribution that is skewed left and random samples of size n = 15 are selected Ill. The population has a distribution that is skewed right and random samples of size n = 35 are selected ‘- IV. The population has a normal distribution and random samples of size n = 100 are selected. ' a. 1'1 and III only 03 I, III, and IV only 1‘— land TV only :1. III and IV only Answer 7, J; 17. Five cards are drawn from a standard deck of52 cards. What is the probability that 2 face cards and 3 non~face cards will be drawn? (Face cards arcjacks, queens, and kings.) [113 “.2755! 13) .0008 C) .08869 (1) .06603 c)- 0.25090 2.9 9 Answer . m .. _____. 18_The personal identification number (PIN) for personal accounts at Big Bank consists of 3 digits (numbers between 0 and 9) which can be repeated. If an individual forgets his bankcard at an automatic teller machine, what is the probability that an unscrupulous person who finds this card will guess the correct PIN number on the first try? a) 0.16667 b) 0.00139 0) 0.00833 d) 0.04167 (9) 0.001 1 1 1 Answer 19. A UN. committee on the environment is to be composed of 5 people. If there are 6 European countries and 4 Asian countries that are vying for a space on the committee, how many ways can the committee be formed if at least 3 ofthe members are fiom Asia? ' a) 15 b) 60 c) 120 d") 66 re) 10 Answer may we 41 Mil-ICU Ll :8 ‘ o uo + {a 20‘ A family consists of three children. The probability of having a boy is 59%. What is probability that the famihj has all boys given that at lease one boy. a) 0.2303 b)0.1429 c)0.75 mossm K L Answer A 1’ ‘ f 9.4-” a ,1/ lb" 7 7-7 Cf‘k. PM; 14 U‘VH 3:7, 12"" 1 , . 1/7 (a 9/ a , Q7 / ...
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