# Multiple choices | Mathematics homework help

1.      In a poll, respondents were asked whether they had always been in a car additament. 220 respondents implied that they had been in a car additament and 370 respondents said that they had not been in a car additament. If one of these respondents is wildly separated, what is the presumption of getting someone who has been in a car additament? Round to the frequented thousandth.A. 0.384 B. 0.380 C. 0.373D. 0.370

P(accident) = 220 / (220 + 370) = 0.373

2.      If you flip a fabricate three durations, the likely outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the presumption of getting at insignificantest one division?

A. 4/9                          B. 5/6                 C. 7/8           D. 5/8

P(at insignificantest one division) = (Number of co-operations succeeding a while one or past H) / (Total                                                                     enumerate of co-operations)

P(at insignificantest one division) = 7 / 8

3.      Joe negotiatet 20 cards from a flag 52-card set-in-order, and the enumerate of red cards exceeded the enumerate of sombre cards by 8. He reshuffled the cards and negotiatet 30 cards. This duration, the enumerate of red cards exceeded the enumerate of sombre cards by 10. Particularize which negotiate is closer to the 50/50 relative of red/sombre awaited of impartially negotiatet hands from a impartial set-in-order and why.

A. The principal succession is closer consequently 1/10 is farther from 1/2 than is 1/8.

B. The succession closer to the hypothetical 50/50 cannot be established spontaneous the enumerate of red and sombre cards for each negotiate is consecrated.

C. The prevent succession is closer consequently 20/30 is closer to 1/2 than is 14/20.

D. The principal succession is closer consequently the variety betwixt red and sombre is insignificanter than the variety in the prevent succession.

1st negotiate: 14 red and 6 sombre     P(red) = 14/20 = 0.70

2nd negotiate: 20 red and 10 sombre  P(red) = 20/30 = 0.67 < 0.70

4.      Suppose you keep an greatly unimpartial die: The presumption of a 6 is 3/8, and the presumption of each other enumerate is 1/8. If you cast the die 32 durations, how manifold twos do you await to see?A. 2                        B. 4                            C. 3                             D. 5

E(2) = np = 32(1/8) = 4

5.      A dispose consists of 50 women and 82 men. If a scholar is wildly separated, what is the presumption that the scholar is a woman?

A. 32/132 B. 25/66C. 50/132          D. 82/132

P(woman) = 50 / (50 + 82) = 50/132 = 25/66

6.      If you flip a fabricate three durations, the likely outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the presumption that at insignificantest two divisions take-place coherently?

A. 1/8          B. 3/8           C. 5/8       D. 6/8

P(two coherent H) = (Number of co-operations succeeding a while HH) / (Total enumerate of                                                                  combinations)

P(two coherent H) = 3/8

7.      Suppose you buy 1 ticket for \$1 out of a lottery of 1000 tickets where the booty for the one engaging ticket is to be \$500. What is your awaited appraise?

A. \$0.00       B. −\$0.40       C. −\$1.00        D. −\$0.50

E(x) = (1/1000)(\$500) – 1 = \$0.50 - \$1 = -\$0.50

8.      If you flip a fabricate three durations, the likely outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the presumption of getting at insignificantest two tails?

A. 1/2        B. 2/3           C. 3/4        D. 4/9

P(at insignificantest 2 T) = (Number of co-operations succeeding a while 2 or past T) / (Total enumerate

of co-operations)

P(at insignificantest 2 T) = 4/8 = ½

9.      A bag contains indelicate driblets of which one is red, one is cerulean-colored-colored, one is chill, and one is yellow. A driblet is separated at wild from the bag and then replaced in the bag. A prevent driblet is then separated at wild. Execute a catalogue of the likely outcomes (for stance, RB personates the outcome red driblet followed by cerulean-colored-colored-colored driblet) and use your catalogue to detailize the presumption that the two driblets separated are the selfselfcorresponding tinge. (Hint: There are 16 likely outcomes.)A. 1/4         B. ¾     C. 2/16       D. 3/16

Possible outcomes:                  RR       RB       RG      RY

BR       BB       BG      BY

GR      GB      GG      GY

YR      YB      YG      YY

P(two of selfselfcorresponding tinge) = (Number of co-operations succeeding a while selfselfcorresponding tinge) / (Total

enumerate of co-operations)

P(two of selfselfcorresponding tinge) = 4/16 = ¼

10.  A committee of three mass is to be formed. The three mass earn be separated from a catalogue of five likely committee parts. A undesigning wild specimen of three mass is enthralled, succeeding a whileout reinstatement, from the assembly of five mass. Using the learning A, B, C, D, E to personate the five mass, catalogue the likely specimens of largeness three and use your catalogue to detailize the presumption that B is intervening in the specimen. (Hint: There are 10 likely specimens.)A. 0.6         B. 0.4         C. 0.7      D. 0.8

Sample space:              ABC    ABD   ABE    ACD   ACE

P(co-operation includes B) = (Number of co-operations including B) / (Total

enumerate of co-operations)

P(co-operation includes B) = 6/10 = 0.6

11.  In the principal succession of flattens of a die, the enumerate of odd enumerates exceeded the enumerate of equable enumerates by 5. In the prevent succession of flattens of the selfselfcorresponding die, the enumerate of odd enumerates exceeded the enumerate of equable enumerates by 11. Particularize which succession is closer to the 50/50 relative of odd/equable awaited of a impartially flattened die.

A. The prevent succession is closer consequently the variety betwixt odd and equable enumerates is main than the variety for the principal succession.

B. The principal succession is closer consequently the variety betwixt odd and equable enumerates is near than the variety for the prevent succession.

C. Since 1/2 > 1/5 > 1/11, the principal succession is closer.

D. The succession closer to the hypothetical 50/50 cannot be established spontaneous the whole enumerate of flattens for twain succession is consecrated.

12.  Jody checked the region 12 durations on Monday, and the conclusive digit of the region was odd six durations past than it was equable. On Tuesday, she checked it 18 durations and the conclusive digit was odd eight durations past than it was equable. Particularize which succession is closer to the 50/50 relative of odd/equable awaited of such a succession of region checks.

A. The Monday succession is closer consequently 1/6 is closer to 1/2 than is 1/8.

B. The Monday succession is closer consequently 6/12 is closer to 0.5 than is 8/18.

C. The Tuesday succession is closer consequently the 13/18 is closer to 0.5 than is 9/12.

D. The succession closest to the hypothetical 50/50 cannot be established succeeding a whileout shrewd the enumerate of odds and equables in each succession.

Monday: 9 odd, 3 equable           P(odd) = 9/12 = 0.75

Tuesday: 13 odd, 5 equable         P(odd) = 13/18 ≈ 0.722 < 0.75

13.  Suppose you pay \$1.00 to flatten a impartial die succeeding a while the sense that you earn get end \$3.00 for flattening a 5 or a 2, trifle inadequately. What is your awaited appraise?

A. \$1.00           B. \$0.00              C. \$3.00        D. −\$1.00

E(x) = (1/3)(\$3) - \$1 = \$1 - \$1 = \$0

14.  On a multiple rare proof, each inquiry has 6 likely responses. If you execute a wild suppose on the principal inquiry, what is the presumption that you are chasten?

A. 1/5         B. 1/6         C. 1/4        D. 2/5

P(correct) = Enumerate of chasten responses / Enumerate of likely rares

P(correct) = 1/6

15.  A con-over of two types of exterminate killers was manufactured on two same exterminate batchs. One exterminate killer killed 15% past exterminates than the other. This variety was speaking at the 0.05 roll. What does this medium?

A. The progress was due to the event that there were past exterminates in one con-over.

B. The presumption that the variety was due to wild over is main than 0.05.

C. The presumption that one exterminate killer executed emend by wild over is near than 0.05.

D. There is not abundance notice to execute any omission.

16.  The arrangement of B.A. proceedings won by a persomal academy is catalogueed beneath, by main.

Major                    Frequency

English                 2073

Mathematics        2164

Chemistry            318

Physics                856

Liberal Arts          1358

Engineering          868

9313

What is the presumption that a wildly separated proceeding is not in Business?

A. 0.7800          B. 0.8200         C. 0.8300         D. 0.9200

P(not in Business) = (Number not in Business) / Whole enumerate of proceedings

P(not in Business) = (9313 – 1676) / 9313

17.  A 28-year-old man pays \$125 for a one-year vivacity prophylactic cunning succeeding a while coverage of \$140,000. If the presumption that he earn subsist through the year is 0.9994, to the frequented dollar, what is the man’s awaited appraise for the prophylactic cunning?

A. \$139,916        B. −\$41         C. \$84         D. −\$124

E(x) = (1 – 0.9994)(\$140,000) - \$125 = -\$41

18.  A bag contains 4 red marbles, 3 cerulean-colored-colored-colored marbles, and 7 chill marbles. If a marble is wildly separated from the bag, what is the presumption that it is cerulean-colored-colored?

A. 2/11        B. 3/11       C. 5/14        D. 3/14

P(blue) = Enumerate of cerulean-colored-colored-colored marbles / Whole enumerate of marbles

P(blue) = 3 / (4 + 3 + 7) = 3/14

19.  The basis set personates the pay rolls of the parts of a empire club. Revere the presumption that a wildly separated part earns at insignificantest \$98,000.

112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 86,000 105,000

140,000 94,000 126,000 119,000 98,000 154,000 78,000 119,000

A. 0.4         B. 0.6        C. 0.66         D. 0.7

P(allowance ≥ \$98,000) = Enumerate of salaries ≥ 98,000 / Whole enumerate of salaries

P(allowance ≥ \$98,000) = 14/20 = 0.7

20.  A con-over of scholars induction Statistics 101 was manufactured. Indelicate hundred scholars who thought-out for past than 10 hours averaged a B. Two hundred scholars who thought-out for near than 10 hours averaged a C. This variety was speaking at the 0.01 roll. What does this medium?

A. The presumption that the variety was due to wild over is main than 0.01.

B. There is near than a 0.01 wild that the principal assembly’s proceedings were emend by wild over.

C. The progress was due to the event that past mass thought-out.

D. There is not abundance notice to execute any omission

21.  Sample largeness = 400, specimen medium = 44, specimen flag derangement = 16. What is the room of hallucination?

A. 1.4               B. 1.6               C. 2.2             D. 2.6

Assuming a 95% trust roll, and noting that this dispose seems to use  z = 2     for this trust roll instead of the past deferential 1.96 appraise.

E = z*s/√n = 2 * 16 / √400 = 1.6

22.  Select the best fit frequentedion on the strew diagram beneath.

D. None of the frequentedions is the frequentedion of best

23.              A researcher wishes to revere the medium sum of capital elapsed per month on patronage by households in a indubitable neighborhood. She desires a room of hallucination of \$30. Past studies recommend that a population flag derangement of \$248 is dispassionate. Revere the restriction specimen largeness needed to revere the population medium succeeding a while the customary faultlessness.

A. 274        B. 284      C. 264        D. 272

Again, turgid a 95% trust intermission, succeeding a while z = 2.00 instead of 1.96:

n = (z * s / E)2 = (2 * 248 / 30)2 = 273.35 à 274

24.           Suggest the source of the apposition unordered the basis.

The graph exhibitions power of coffee (y) and enumerate of scoops used to execute 10 cups of coffee (x). Identify the reasonable source of the apposition.

A. The mutation in the x capricious is a frequented source of the mutation in the y capricious.

B. There is no apposition betwixt the capriciouss.

C. The apposition is due to a despicable underlying source.

D. The apposition betwixt the capriciouss is fabricatecidental

25.  Suggest the source of the apposition unordered the basis.

The graph exhibitions power of coffee (y) and enumerate of scoops used to execute 10 cups of coffee (x). Identify the reasonable source of the apposition.

 A.The mutation in the x capricious is a frequented source of the mutation inthe y capricious. B. There is no apposition betwixt the capriciouss. C. The apposition is due to a despicable underlying source. D. The apposition betwixt the capriciouss is fabricatecidental.

26.A population interrelationship is to be revered. Revere the restriction specimen largeness needed to conclude a room of hallucination E = 0.01succeeding a while a 95% proceeding of trust.

A. 7,000           B. 8,000              C. 9,000       D. 10,000

n = p(1-p)(z/E)2 = (0.5)(0.5)(2/0.01)2 = 10,000

27. Select the best revere of the apposition coefficient for the basis depicted in the strew diagram.

A. -0.9

B. 0.1

C. 0.5

D. 0.9

The arise of the return frequentedion is denying, so the coefficient of apposition must

also be denying.

28. A specimen of nine scholars is separated from unordered the scholars induction a detail exam. The nine scholars were asked how greatly duration they had elapsed con-overing for the exam and the responses (in hours) were as follows:18, 7, 10, 13, 12, 16, 5, 20, 21

Estimate the medium con-over duration of all scholars induction the exam. Round your response to the frequented tenth of an hour if essential.     A. 13 hours     B. 12.2 hours         C. 13.6 hours

D. It is not likely to revere the population medium from this specimen basis

Mean = (18 + 7 + 10 + 13 + 12 + 16 + 5 + 20 + 21) / 9 = 13.6

29. The strew batch and best-fit frequentedion exhibition the association unordered the basis for the worth of a supply (y) and avocation (x) in overbearing units. The apposition coefficient is 0.8. Foreshadow the supply worth for an avocation appraise of 6.

A. 8.8

B. 6.2

C. 8.2

D. None of the appraises are chasten

Draw a perpendicular frequentedion through “6” on the spiritclose axis, and stretch the frequentedion perpendicularly until it intersects the frequentedion on the graph. Then haul a spiritclose frequentedion through the sharp-end of intersection and stretch that frequentedion to the left until it intersects the perpendicular axis. Decipher the appraise from the perpendicular axis, which is encircling 6.2.

30.The graph exhibitions a gauge of kinsman (y) and miles walked weekly. Identify the reasonable source of the apposition.

A. The apposition is fabricatecidental.

B. There is a despicable underlying source of the apposition.

C. There is no apposition betwixt the capriciouss.

D. Walking is a frequented source of the kinsman.

31. Elequable womanly academy scholars are separated at wild and asked their summits. The summits (in inches) are as follows:67, 59, 64, 69, 65, 65, 66, 64, 62, 64, 62Estimate the medium summit of all womanly scholars at this academy. Round your response to the frequented tenth of an inch if essential.

A. It is not likely to revere the population medium from this specimen basis

B. 64.3 inches

C. 64.9 inches

D. 63.7 inches

Mean = (67 + 59 + 64 + 69 + 65 + 65 + 66 + 64 + 62 + 64 + 62) / 11 = 64.3

32. Select the best fit frequentedion on the strew diagram beneath.

A. A

B. B

C. C

D. All of the frequentedions are twin-fellow good

33. In a poll of 400 voters in a indubitable specify, 61% said that they divergent a voter ID account that agency over some fair voters from voting. The room of hallucination in the poll was reported as 4 percentage sharp-ends (succeeding a while a 95% proceeding of trust). Which specifyment is chasten?

A. The reported room of hallucination is harmonious succeeding a while the specimen largeness.

B. There is not abundance notice to detailize whether the room of hallucination is harmonious succeeding a while the specimen largeness.

C. The specimen largeness is too insignificant to conclude the customary room of hallucination.

D. For the consecrated specimen largeness, the room of hallucination should be insignificanter than customary

Required specimen largeness = (phat)(1 – phat)(z/E)2 = (0.61)(1 – 0.61)(2/0.04)2 = 594.75

34.The strew batch and best-fit frequentedion exhibition the association unordered the enumerate of cars protraction by a develop (y) and the sum of duration succeeding the end of disposees (x) in overbearing units. The apposition coefficient is -0.55. Particularize the sum of mutation in the enumerate of cars not explained by the mutation duration succeeding sch

A. 55%

B. 70%

C. 30%

D. 45%

Coefficient of non-sensuality = 1 – r2 = 1 – (-0.55)2 = 0.6975 → 70%

35. Which graph has two assemblys of basis, appositions succeeding a whilein each assembly, but no apposition unordered all the basis?

A.

B.

C.

D

36. The strew batch and best-fit frequentedion exhibition the association unordered the enumerate of cars protraction by a develop (y) and the sum of duration succeeding the end of disposees (x) in overbearing units. The apposition coefficient is -0.55. Use the frequentedion of best fit to foreshadow the enumerate of cars at duration 4 succeeding the end of disposees.

A. 7.0

B. 6.0

C. 8.0

D. 3.5

Draw a perpendicular frequentedion through the appraise 4 on the spiritclose axis and stretch the frequentedion perpendicularly until it intersects the frequentedion exhibitionn on the graph. Then haul a spiritclose frequentedion through the sharp-end of intersection and stretch it to the left until it intersects the perpendicular axis. Decipher the appraise where the spiritclose frequentedion crosses the perpendicular axis. The appraise is almost 7.

37. A researcher wishes to revere the interrelationship of academy scholars who illusion on exams. A poll of 560 academy scholars exhibitioned that 27% of them had, or purposed to, illusion on examinations. Find the 95% trust intermission.

A. 0.2323 to 0.3075

B. 0.2325 to 0.3075

C. 0.2325 to 0.3185

D. 0.2323 to 0.3185

Lower condition = phat – z*sqrt(phat*(1 – phat)/n)

Lower condition = 0.27 – 2*sqrt(0.27*0.73/560)

Lower condition = 0.2325

Upper condition = phat+ z*sqrt(phat*(1 – phat)/n)

Upper condition = 0.27 + 2*sqrt(0.27*0.73/560)

Upper condition = 0.3075

38. Unordered a wild specimen of 150 employees of a detail order, the medium compensate absence is 29.6 miles. This medium lies 1.2 flag derangements over the medium of the sampling arrangement. If a prevent specimen of 150 employees is separated, what is the presumption that for the prevent specimen, the medium compensate absence earn be near than 29.6 miles?

A. 0.8849           B. 0.5          C. 0.1131        D. 0.1151

P(prevent specimen medium ≤ 29.6) = P(z ≤ 1.2) = 0.8849

39. The strew batch and best-fit frequentedion exhibition the association betwixt the worth per ace (y) and the availability of that ace (x) in overbearing units. The apposition coefficient is -0.95. Particularize the sum of mutation in pricing explained by the mutation in availability.

 A. 5% B. 10% C. 95% D. 90%     Coefficient of sensuality = r2 = (-0.95)2 = 0.9025 ≈ 90% 40. Of the 6796 scholars in one develop confine, 1537 cannot decipher up to proceeding roll. Unordered a specimen of 812 of the scholars from this develop confine, 211 cannot decipher up to proceeding roll. Find the specimen interrelationship of scholars who cannot decipher up to proceeding roll       A. 0.14        B. 0.26      C. 211      D. 0.23 phat = x/n = 211 / 812 = 0.26