M.C.A. (Semester III) (CBCS) Examination Oct/Nov-2017
Science
COMPUTER ORIENTED STATISTICS
Day Date: Saturday, 25-11-2017 Max. Marks: 70
Time: 02.30 PM to 05.00 PM
Instructions: Questions No.1 and 2 are Compulsory.
Attempt any three questions from Q.No.3 to Q.No.7
Figures to the right indicate full marks.
Use of simple or scientific calculator is allowed.
Q.1 Select most correct alternative: 10
For a symmetric frequency distribution
(Q3 − Q2) (Q2 − Q1) (Q3 − Q2) (Q2 − Q1)
(Q3 − Q2) (Q2 − Q1) None of these
The relation between A.M., G.M. and H.M. for positive observations is

A. M. G. M. H. M. A. M. G. M. H. M.
G. M. H. M. A. M. None of these
If all observations in data are equal, then dispersion becomes
Any positive number Any real number
Zero None of these
If P A B then events A and B are
Exhaustive Certain
Mutually exclusive Equally likely
If P A P B P A z and P AUB then P
A
B

x/y z/y
I/y z/x
A discrete r. v. X has Poisson distribution with parameter hen s. d. of X
is
2 4
16 None of these
If is p. m. f. of a discrete r. v. then for all
0 P X 1
Both and None of these
The probability curve of normal distribution is symmetric about

Mean Median
Mode All of these
If correlation between variables X and Y is perfect, then
X and Y are changes in opposite direction
X and Y are changes in same direction
X and Y are changes in proportion
None of these
Page 2 of 2
SLR-SM-27
10 Number of printing mistakes per page of a book is a
Discrete variable Continuous variable
Constant Attributes
State True/False 04
Variance is a measure of kurtosis.
Union of exhaustive events contains all sample points of sample space.
If correlation is perfect we get only one line of regression.
Power-residue generator is one of the method of generating random
numbers deterministically.
Q.2 State addition law of probability, hence obtain if P A 0.4, P B
0.5, P AUB 0.7
04
A. M. and S. D. of daily wages of 50 workers in firm-A are Rs. 155 and 16
and that of 65 workers in firm-B are Rs 175 and 21 respectively. Find
which firm shows more variation in paying wages.
04
Define Poisson distribution and state its additive property. 03
Compute H. M. for the values 20, 10, 15, 25, 30 03
Q3 A box contains 8 good and 2 defective bulbs. The bulbs are drawn one by
one without replacement and tested. What is probability that the 2 defective
are obtained at third attempt only.
07
Following data shows daily expenditure of families. Find median. 07
Expenditure (in100 Rs.) 10-15 15-20 20-25 25-30 30-35 35-40
No. of families 14 21 30 25 18 11
Q4 Define exponential distribution. If life time of certain electronic component has
exponential distribution with mean life time 1500 hours. Find probability that the
component will survive more than 1200 hours but less than 1800 hours.
07
Give procedure of generating random observation from uniform distribution
over
07
Q.5 A random variable X has binomial distribution with parameters 0. 4). Find
P(X
07
What is kurtosis? Explain regression coefficients and state their two properties. 07
Q.6 Define regression, state regression coefficients and state their any two
properties.
07

4
10
−1, 0.1, 3
The p. m. f. of discrete r. v. X is 07
Find value of k
x
4
Q.7 Define geometric distribution, negative binominal and state their mean and
variance.
07
Fit exponential curve of the form Y a. bx to the following data. 07
X 2 3 4 5 6
Y 90 270 810 2430 7290
Estimate Y for X 3.5