Master of Computer Application II (Science) Examination:
Oct/Nov 2016 Semester III (New CBCS)
SLR No. Day
Date Time Subject Name Paper
No. Seat No.
SLR U
20
Friday
25/11/2016
02.30 PM
to
05.00 PM
Computer Oriented
Statistics
C
Instructions: Question no. 1 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
Total Marks: 70
Q.1 Select most correct alternatives 10
The measure of dispersion that based on extreme observation only is
Range Q.D.
M.D. S.D.
For unimodel asymmetric frequency distribution, the relation between mean,
median and mode is
mean median 3 mean -mode) mode median
(mean mode)
mean mode (mean median) None of these
distribution has maximum peaked frequency curve
mesokurtic platykurtic
leptokurtic none of these

exhaustive certain
mutually exclusive equally likely
If A and B are mutually exclusive events then
1 zero
any +ve real number that lies between
0 and 1
none of these
If X then
10 6
2.4 None of these
If is p.m.f. of a discrete r.v. then for all x
0 0
0 None of these
If X→N 25,σ2 the mode of X is
25 100
10 5
To estimate value of variable X for known value of variable the line of
regression is used.
X on Y Y on X
Both and None of these
Page 1 of 2
10) is not a part of good statistical table
Table number Foot note
Head note None of these
State whether following statements are true or false 04
Symmetric nature of frequency distribution is known as kurtosis.
Event is sub-set of sample space.
Correlation between X and Y is same as that of correlation between Y and
X always.
Deterministically generated random numbers are known as pseudorandom
numbers.
Q.2 State multiplication law of probability, hence obtain if 0.3,
0.41, 0.5
For a group of 20 observation mean, mod and s.d. are 50.5, 44.75 and 15.44
respectively. Find coefficient of skewness and comment on result.
04
04
Define Binomial distribution and state its additive property.
Compute G.M. for the values 12, 18, 21, 27, 15
03
03
Q.3 A computer system consists of 3 sub-systems. Each sub-system might fail
independently with probability 0.2. The failure of any sub-system will leads
to a failure of a whole system. Given that a computer system has failed,
what is probability that first sub-system failed?
The daily wages of workers in a certain factory are as follows. Find
coefficient of variation
Wages (in 100 Rs.) 5-10 10-15 15-20 20-25 25-30
No. of workers 7 13 21 15 9
07
07
Q.4 Define normal distribution and state its important properties.
A sample of 25 pairs of observation on gives the following
information
ΣX 328 ΣY 242 ΣX2 35144 ΣY2 32351 ΣXY 29445
Obtain the equation of line of regression Y on X and hence estimate Y for X
=25
07
07
Q.5 A random variable X has Poisson distribution with parameter 1.5 find

What is skewness? Explain types of skewness.
07
07
Q.6 Define correlation, explain types of correlation.
The p.m.f. of distance r.v. X is
07
07
Q.7 Give procedure of generating random observation from exponential
distribution with mean
Fit exponential curve of the form Y a.bx to the following data.
X 1 2 3 4 5
Y 20 40 80 160 320
Estimate Y for X 6.5