Stats (MBA-1)

1. A measurement of each element in a group or population of interested?
a. Census b. Area c. Sampling d. Population 126. Population having a stated or ltd size.
a. Finite population b. Infinite population c. Judgment d, Parametic
2. A sampling method in which a sample is drawn in such a way that it is systematically spread over all the elements of population.
a. Stratified sampling b. Systematic sampling c. Sampling error d. Sample
3. A method of determine correction when the data are not available in numerical form and as a n attractive method of ranking is used.
a. Rank correction b. Linear relationship c. Scatter diagram d. None
4. Analysis of statistical data in concerned with the question of whether there is a relationship between two variables.
a. Co-efficient of variables b. Correlation analysis
c. Inverse analysis d. None of the above
5. A Plot of the paired observations X and Y that shows abroad pattern of relationship between the Two variables
a. Graph b. Directed graph c. Scatter diagram d. None of the above
6. A relationship between two variables showing that their movements are in the same direction.
a. Direct relationship b. Undirectionship c. Linear relationship d. None
7. A method that uses past data to estimate the relationship between two variables.
a. Regression b. Regression line c. Slope d. Standard line
8. what Regression co-efficient ‘b’ of the regression equation. Y=a+bx
a) constant b) slope c) regression constant d) none
9. A nonparametric test that a concerned with the degrees of agreement between a set of observed ranks (Sample Values) and a theoretical frequency distribution.
a. Kolmogorav – Smirnev test b. Kurskal – wall is test
c. Mann – Whitney U test d. All of the above
10. Data arranged in relation to time. Such data have four components trend, cycle, seasonal, irregular movements.
a. Time series b. Seasonal index c. Forecasting d. None of the above
11. An index that links up different fixed base indices to obtain a long comparable series.
a. Chain index number b. Index number c. Defaulting number d. All
12. An index that measures the change in value between two or more periods of time.
a. Value index b. Weighted index c. Relative method d. All of the above
13. Index that compares the change in the price or quantity of a single item between two or more periods of time.
a. Quantity index b. Simple index number c. Price index d. None of the above
14. ___________ to, resort because of two primary reasons namely: Time and Cost.
a. Sampling b. Stata c. Statistics d. Estimate
15. Index number represent the relative changes are
a. Expressed in number b. Expressed in Percentage
c. Relative measure. D. Average
16 The collection of data depends mainly on proper drafting of the questionnaire.
a. Drafting Schedule b. Mail enquiry c Informants d. Principle
17. A study of characteristics of units of a population by using statistical device and techniques is called:
a. Statistical Investigation b. Statistical Survey
c. Statistical Carriers d. Conclusion Collection
18The collection of data depends mainly on proper drafting of the questionnaire.
a. Drafting Schedule b. Mail enquiry c. Informants d. Principle
19. Classification is a systematic grouping of the units according to their common characteristics. So units having common characteristics are grouped together each of these groups is called.
a. Class b. Group c. Logically arranged d. Instructions
20. Karl pearsoni coefficient of correlation. Formula.
a. r = ∑xy b. r =∑ x y
(∑x2∑y2 )1/2 ∑x2 ∑Y2
c. r = ∑x .y d. r = ∑x y
(∑x)2 (∑y)2 ∑x2
21. Rank Correlation
a.) R = 1 - 6∑D2
N(N2-1)
b.) R = 1 + 6∑D2
N(N2-1)
c.) R = 1 - ∑D2
N2-1
d.) R = 1 - ∑D2
N3-N
22. Calculate the variance and co-efficient of variation.
a. x= ∑fd2/N-(∑fd/N)2 xi , C.V = s/x b. x= (∑fd)2/N-∑fd/N xi
c. x = ∑fd/N-∑fd/N xi d. x= ∑f2/N- fd2/N xi
23. Fishers ‘Ideal’ Method Define which is correct.
a. Po1 = ∑p1qo/∑poqo X ∑p1q1/∑poq1 X 100 b. Po1 = ∑po/∑qo X ∑po/∑qo X 100
c. Po1 = ∑poq1/∑qo X ∑po/∑qo X 100 d. Po1 = ∑poqo/∑poqo X ∑p1q1/∑po X 100
247. Marshall – Edge worth Method:
a. Po1 = ∑ ( qo+q1) p1/∑ (q0+q1) po X 100 b. Po1 = ∑ (qo+q1) P1/∑ (qo) po X 100
c. Po1 = ∑ (q1+qo) q1/∑ (qo) (po) (qo) X 100 d. None of these
25. Event is a possible outcome of an experiment or a result of a trial or an observation.
a) 0 b) 1 c) can’t describe d) none of these
26. Height of six students are 163, 173, 168, 156, 162 and 165 cms. Find the arithmetic mean.
a. 164.5 cms b. 164 c. 166 d. 165.1
27. In a one day cricket match, a bowler bowls 8 overs. He gives away 3, 5, 12, 0, 4, 1, 3, 7 runs in theseovers. Find the mean run rate per over.
a. 43.75 b. 4.375 c. 43.7 d. 437.5
28. The following is the frequency distribution of wage of workers of a factory. Find the arithmetic mean.
a. 129 b. 128 c. 120 d. 121
29. The mean ( x ) of marks scored by 30 girls of a class is 44%. The mean for 50 boys is 42%. Find themean for whole class.
a. 40.27% b. 41.27% c. 42.75% d. 42.7%
30. For continuous frequency distribution the median is:
a. M= 1 + [[N/2-m] x c]/f b. M= L [N/2-m x c] f
c. M= L+ [N/2-M x C]/f d. None of the above
31.For the mode the formula as:
a. Z= 1+ [(f-f1) x c]/( 2f-f1 x c) b. Z= 1+ [f-f1 x c]/( f1 f1-f2)
c. Z= 1+ [(f-f1) x c]/( 2f1–f1-f2) d. Z= 1+ [(f-f1) x c]/( 2f-f1-f2)
32. Find the geometric mean of 1, 4, 16.
a. 3 b. 4 c. 9 d. 16
33. Find the geometric mean of 1.03, 1.04, 1.06, 1.08.
a. 1.040 b. 1.070 c. 1.40 d. 1.70
34. Define it.
a. Mode = 3 Median – 2 Mean b. Mode = Median – 3 Mean
c. Mode = 3 Mean – 2 Mode d. None of above
35. Find the formula of Range:
a. R = H-L b. R = H-2L c. R = 2H-L d. R = H-2L
36. Describe three type of probability.
a. Classical approach b. Relative frequency approach
c. Subjective approach d. All of the above
37. Three dice are thrown simultaneously. Find the probability that:
All of them show the same face
a. 1/36 b. 1/6 c. 1/5 d. 1/4
38. all show distinct bases.in the third question
a 5/9 b 4/9 c 5/36 d 9/9
39 two of them show the same face in the 3rd question
a 5/12 b 6/12 c 5/10 d 10/12
40 Find the probability that in a random arrangement of the letters of the word “UNIVERSITY” the two is come together.
a 1/5 b 10/2 c 9/2 d 1/6
41. If persons are seated on a round table, what is the probability that two named individual will be neighbors?
a 2/(n-1) b 2n/(n-1) c 2n/n d (2-n)/(n-1)
42. A five digit number is formed by the digit 1, 2, 3, 4, 5 without repetition. Find the probability that the number is divisible by 4.
a 1/5 b ¼ c 1/24 d 1/8
43. The adds in favour of an event are 3:5. Find the probability of occurrence of this event.
a. 3/8 b 1/8 c 5/8 d 3/5
44. A card is drawn from an ordinary pack of 52 cards and a gambler bets that it is a spade or an ace.What are the odds against his winning this bet?
a 4/13 b 9/4 c 13/2 d 14/13
45. A die is thrown, find the probability of getting?
a ½ b 1/3 c 2/2 d 1/4
46 A, B, C are three mutually exclusive and exhaustive events associated with an random experiments. Find P(A), it being given that
P(B)= 3 P(A) and1P(C)= 1P(B).
a 4/13 b ¾ c 12/13 d 13/4
47 One number is chosen from number 1 to 200. find the probability that it is divisible by 4 and 6?
a 65/200 b 67/200 c 62/200 d 64/200
48 A card is drawn from a deck of 52 cards. Find the probability is getting a king or a heart or a red card.
a. 6/13 b 7/13 c 5/13 d 6/14
49 Two dice are thrown together. What is the probability that the sum of the numbers on the two face is divisible by 3 or 4?
a 3/9 b 4/9 c 5/9 d 2/9
50 A die is thrown twice and the sum of the numbers appearing is observed to be 6. what is the conditional probability that the number 4 has appeared at least once?
a 4/5 b 3/5 c 1/5 d 2/5
51 Find the probability of drawing a diamond card in each of the two consecutive draws from a wellshuffled pack of cards if the card drawn is not replaced after the first draw.
a 1/12 b 1/17 c 1/15 d 1/16
52 If P(not A) = 0.7, P(B) = 0.7 and P (B/A) = 0.5. then find P(A/B) and P(AUB).
a 0.55 b 0.65 c 0.85 d 0.45
53. A bag contains 5 white, 7 red and 4 black balls. Four balls are drawn one by one with replacement, what is the probability that none is white?
a. 11/16 b. (11/16) c. 16/11 d. [ 11/16]
54. A class consists of 80 students: 25 of them are girls and 55 boys: 10 of them are rich and the remaining poor; 20 of them are four complexioned. What is the probability of selecting a fair complexioned rich girl?
a. 4/512 b. 6/512 c. 5/512 d. 2/512
55. A policeman fires four bullets on a dacoit. The probability that the dacoit will be killed by one bullet is 0.6. What is the probability that the dacoit is still alive?
a. 0.004096 b. 0.004095 c. 0.04059 d. 0.0469
56. Two dice are thrown. Find the probability of getting an odd number on the first dice and a multiple of3 on the other.
a. 1/2 b. 1/6 c. 1/3 d. 6/1
57. The odds against A solving a certain problem are 4 to 3 and the odds in favour of B the same problem are 1 to 5. Find the probability that the problem will be solved.
a. 16/21 b. 16/20 c. 15/21 d. 14/21
58. Two cards are drawn without replacement from well stuffed pack of 52 cards. Find the probability that one is a space and other is a queen of red color.
a. 1/50 b. 1/51 c. 1/49 d. 1/52
59. Calculate the correlation co-efficient from the following results:
n=10, ∑x=140, ∑y=150, ∑(x-10)2 =180, ∑(y-15)2= 215 and ∑(x-15) (y-15)=60
a. 0.9151 b. 0.8151 c. 0.7151 d. 0.9215
60. The sample space is a set of all possible outcomes of an experiment.
a. S b. E c. E d None of the above
61. Suppose the probability of dialing a wrong number is 0.05. Then, what is the probability of dialing exactly 3 wrong numbers in 100 dials?
a. 0.14 b. 0.15 c. 0.4 d. 0.16
62. Suppose there are 8 persons from whom we have to select samples of size 3. How many samples can be selected?
a. 56 b. 57 c. 53 d. 99
63. A group of 10 students are to be divided into 2 groups of 5 each and seated two tables. How many different ways are there of dividing the 10 students?
a. 200 b. 252 c. 201 d. 250
64. At a dinner party 12 guests had been invited. They are to be divided into 2 groups of 6 each and seated at 2 tables. In how many different who is these guests can be seated?
a. 900 b. 920 c. 924 d. 921
65. find an regression equation of the form Y=aX+b to the data
X: 2 3 4 5
Y: 27 40 55 68
a)Y=12.9375X+2.2188 b)Y=12.9375X-2.2188
c)Y=2.2188X+12.9375 d)Y=2.2188X-12.9375
66 Three students X,Y,Z weight an examination there chance of passing are 1/2 ,1/3,1/4, respectively find the probability of all will fail is
a) ¼ b) ¾ c) 2/4 d) none
67 From 6 positive and 8 negative numbers, 4 are chosen random and multiplied . what is the probability that product is positive number
a) 4/21 b) 0.5045 c) 0.6012 d) none
68 three students X,Y,Z wright an examination there chance of passing are 1/2 ,1/3,1/4, respectively find the probability of all will fail is
(a) ¼ (b) ¾ (c) 2/4 (d) none of these
69 how many 7 persons committees can be formed each containing three females members from a available set of 20 , females and four males members from available set of 30 males
(a) 1140 (b) 27405 (c) 31,241,700 (d) none of these
70 In the non leap year the probability of having 53 Mondays is…..
(a) 1/7 (b) 2/7 (c) 3/7 (d) none of these
71 a student A can solve 75 % of the problem given in this book and another student B can solve 70 % what is the probability that A or B can solve a problem chosen at random
a) 37/40 b) 3/40 c) 7/10 d) none
72 how many password are possible of four character which consist at first latter an alphabet and remaining 3 character are letter from English alphabet or from the set of digit { 0,1,2,………9}
a) 46656 b) 279936 c) 278859 d) none
73 how many 7 persons committees can be formed each containing three females members from a available set of 20 , females and four males members from available set of 30 males
a) 1140 b) 27405 c) 31241700 d) none
74 In a certain college, 4% of men students & 1% of women students are taller than 1.8 m. furthermore 60% of students are women. If a student is selected at random & is found taller than 1.8 m. what is the probability that student is a women?
a) .2727 b) .3347 c) .43621 d) 0.1523
75 One integer is chosen at random from the numbers 1, 2, 3, ……. 100. what is the probability that chosen number is divisible 6 or 8?
a) 5/8 b) 1/5 c) 4/5 d) none

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