Pondicherry University 2009 B.C.A Computer Application , PROBABILITY AND STATISTICS - Question Paper
Monday, 28 January 2013 12:25Web
B.C.A DEGREE EXAMINATION, MAY 2009
Second semester
Computer applications
Allied- PROBABILITY AND STATISTICS
TIME: three hours Max mark: 100
PART-A (10*2=20 MARKS)
ans ALL QUESTINS
1. Define primary and secondary data.
2. Define Ogives curve and methods of constructing Ogives.
3. Calculate mean from the flg data.
R.No 1 2 3 4 5 6 7 8 9 10
Marks 40 55 78 58 60 73 35 43 48 50
4. What do you mean by coefficient of dispersion?
5. Define Kurtosis.
6. Write any 2 properties of regression coefficient.
7. Write the sample space for the Random.
8. Define mathematical expectation.
9. What do you mean by critical value?
10. What is contingency table?
PART-B (5*6=30 MARKS)
ans ANY 5 ques..
11. Explain the parts of tabulation.
12. Calculate the mode from the flg series.
size
4
5
6
7
8
9
10
11
12
14
15
16
17
18
19
frequency
40
48
52
57
60
63
57
55
50
41
57
63
52
48
40
13. Find the coefficient of variance (C.V) of a frequency distribution provided that its mean is 120, mode is and Karl Pearson’s coefficient of skew ness is -0.3.
14. the monthly income of 10 families in rupees in a certain locality are provided below:
Family A B C D E F G H I J
Income (Rs.) 85 70 10 75 500 8 42 250 40 36
compute the geometric mean and harmonic mean.
15. If twice dice are thrown. What is the probability that the sum is (a) great than eight and (b) neither seven or 11?
16. Fit a Poisson distribution to the subsequent data and compute the expected frequencies.
X: 0 1 2 3 4 5 6 7 8
ƒ: 71 112 117 57 27 11 3 1 1
17. Write a short note on the chi square test of goodness of fit of a random of fit of random sample to a hypothecal distribution.
18. The heights of 10 males of a provided locality are obtained to be 70, 67,62,68,61,70,64,66. Is it reasonable to believe that the avg. height is greater than 64 inches? Test at 5% significal level, assuming that for nine degrees of freedom, P. (t>1.83) =0.05.
PART-C (5*10= 50 MARKS)
ans ALL ques..
19. Represented by a percentage bar diagram the flg data on investment for the 1st and 2nd five-year plans:
Investment in the public sector.
Items 1st 5 year second 5 year
Plan plan
Agriculture 357 768
Irrigation 492 990
Industry 261 909
Transport 654 1485
Social studies 305 945
Miscellaneous 90 300
Or
20. Prepare a histogram and a frequency polygon form the subsequent data:
Class ƒ
0-6 4
6-12 8
12-18 15
18-24 2024-30 1230-36 6
21. compute the median, three rd decile and 20th percentile the flg data:
x: 0-5 5-10 10-15 15-20 20-25
ƒ: 7 18 25 30 20
or
22. compute the arithmetic mean, median and mode form the flg data.
Age at last birthday number
15-19 4
20-24 20
25-29 38
30-34 24
35-39 10
40-44 9
23. from the subsequent data compute coefficient of rand correlation ranging from X and Y. Also compute Karl Pearson’s coefficient of correlation
x: 36 56 20 65 42 33 44 50 15 60
?: 50 35 70 25 58 75 60 45 80 38
Or
24. compute the 2 regression formula of X on Y and Y on X from the data provided below, taking derivations from true means of X and Y.
Price : 10 12 13 12 16 15
Amount demanded: 40 38 43 45 37 43
Estimate the likely demand when the price is Rs.20.
25. State and prove Baye’s theorem.
Or
26. 7 coins are tossed and no of heads noted the experiments is repeated 128 times and the subsequent distribution is found
No. of heads: 0 1 2 3 4 5 6 7
Frequencies: 7 6 19 35 30 23 7 1
Fit a binomial distribution to the above data when the coin is unbiased.
27. if ?²1, and ?²2 are 2 independent ?² variables with n1 and n2 degrees of freedom (d.f) respectively, then
?²1/ ?²2 is a ß2 (n1/2, n2/2) variate.
Or
28. Two random samples gave the flg outcomes.
Sample size sample mean sum of squares Of deviation
From the mean
1 10 15 90
2 12 14 108
Test whether the samples come form the identical normal population at 5% level of significance.
(Given = F0.05 (9, 11) = 2.90, F0.05 (11, 9) = 3.10(approx.) and t0.05 (20) =2.086, t0.05(22) =2.07).
____________
| Earning: Approval pending. |
