Master of Computer Application II (Science)
Examination: Oct/Nov 2016 Semester III (Old CGPA)
SLR No. Day
Date Time Subject Name Paper
No. Seat No.
SLR U 25 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
Histogram is a graph of
Cumulative frequency Less than cf
Greater than cf Frequency
is a measure of dispersion
Standard deviation Arithmetic mean
Median None of these
For a positively skew distribution
Mean<median<mode Mean>median>mode
Median<mean<mode None of these
If then thee events A and B are
Independent Mutually exclusive
Equally likely All of these
For a Poisson distribution
Mean<variance Mean>variance
Mean=variance both and
Normal distribution is distribution
Positively skew Negatively skew
Symmetric Asymmetric
Variance of the exponential distribution with mean 10 is
100 10
1 0.01
Regression analysis is concerned with
Establishing a mathematical
relationship between two
variables
Measuring the extent of
association between two
variables
Predicting the value of the
dependent variable for a given value
of the independent variable
Both and
If the correlation between the two variables X and Y is positive, then the
correlation between X and Y+2 is
Zero Positive
Negative Not certain
Page 1 of 2
10) If the value of coefficient of Kurtosis γ2 is zero, then the frequency
distribution curve is said to be
Leptokurtic Platykurtic
Mesokurtic None of these
Fill in the blanks 04
If and then B ⁄A)is
The median of the values 11, 15, 12, 15, 13, 16, 19, 12, 15, 12 is
If the mean and standard deviation of a distribution are 50 and 16
respectively, then the coefficient of variation of the distribution is
If X B(10,0.5) then mean is
Q.2 What do you mean by dispersion? State the types of measures of dispersion.
Calculate S.D. for the data 10, 12, 14, 16 18
04
04
State multiplication theorem of probability.
An integer is chosen at random from 1 to 100. What is the probability that
the chosen integer is not divisible by
03
03
Q.3 A box contains 4 white, 6 black and 5 red balls. Two balls are drawn at
random one by one without replacement. Find the probability of drawing a
black ball in second draw.
Products produced by a machine has defective rate. What is the
probability that the first defective occurs in the fifth item inspected?
07
07
Q.4 Generate five random observation from uniform distribution over
using the sequence of random number 0.04, 0.14, 0.36, 0.98, 0.67
Define normal distribution and state its important properties.
07
07
Q.5 Fit an exponential curve of the form Y a.bx to the following data
1 2 3 4 5 6 7 8
1 1.2 1.8 2.5 3.6 4.7 6.6 9.1
Estimate Y then X 4.5
The probability distribution of a random variable X is as follows
X 0 1 2 3 4 5 6 7
0 2k 3k K 2k K2 7k2 2k2+k
Find k 6.5)
07
07
Q.6 From the following data of the height of person in a certain company
calculate coefficient of variation
Heights (inches): 58 60 61 62 63 64 65 66 68 70
No.of persons 4 6 5 10 20 22 24 6 2 1
Explain Bayes' theorem
07
07
Q.7 From a bivariate distribution a sample of 40 gives following values.
ΣX=628 ΣY=550 ΣX2=40376 ΣY2=30812 ΣXY=33969
Find a line of regression of X on Y
Define exponential distribution. If line time of a certain brand of computer
follows an exponential distribution with mean life time 5000 hours, find the
probability that the computer will fair after 4000 hours.
07
07