Download MU-(University of Mumbai or University of Bombay) MCA (Master of Computer Application) 2019 May 2nd Sem 54704 Probability And Statistics Previous Question Paper
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
71623 Page 1 of 2
(3 Hours) Total Marks: 100
N.B (1) Question No.1 is compulsory.
(2) Attempt any four questions out of remaining six questions.
(3) Assume necessary data but justify the same
(4) Figures to the right in paranthesis indicate full marks
(5) Use of scientific calculator is allowed
1. (a) Find Bowley?s coefficient of skewness for the following data:
Class
Interva
ls
0-4 4-8 8-12 12-16 16-20 20-24 24-28
Freque
ncy
10 12 18 7 5 3 4
(10)
(b) X is normally distributed and the mean of X is 30 and standard deviation is 5. Find
the probability of the following:
1) X ? 45 2) 26 < X < 40
P(0 ? z ? 2) = 0.4772 P(0 ? z ? 8) = 0.2881 P(0 ? z ? 3) = 0.4986
(10)
2.
(a) Find Spearman?s rank correlation coefficient for the following data:
Marks in DM 68 64 75 50 64 80 75 40
Marks in WT 62 58 68 44 81 60 68 48
(10)
(b) An urn contains 6 white, 4 red and 9 black balls. A person draws 3 balls from the
box at random. Find the probability that among the balls drawn none is red?
(10)
3.
(a) If X is a Poisson variate such that
P(X=2) = 9P(X=4) + 90P(X=6)
Find the value of ?
(10)
(b) The first of the two samples has 100 items with mean 15 and standard deviation 3.
If the whole group has 250 items with mean 15.6 and variance 13.44, find the
standard deviation of the second group.
(10)
4. (a) Find the mean and variance of Binomial distribution (10)
(b) Obtain the median for the following frequency distribution.
Wages (in
Rs)
2000-3000 3000-4000 4000-5000 5000-6000 6000-7000
Number of
workers
3 5 20 10 5
(10)
5.
(a) A machinist is making engine parts with axle diameters of 0.7 inch. A random
sample of 10 parts shows a mean diameter of 0.742 inch with a standard deviation
of 0.04 inch. Test if the work is meeting the specifications. Tabulated value of t is
1.833.
(10)
(b) In a random arrangement of the letters of the word ?MISSISSIPPI?, find the
probability that all the I?s come together
(10)
Paper / Subject Code: 54704 / Probability & Statistics
F3C3F0A594661FB3BCA1D075375F442D
FirstRanker.com - FirstRanker's Choice
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
71623 Page 1 of 2
(3 Hours) Total Marks: 100
N.B (1) Question No.1 is compulsory.
(2) Attempt any four questions out of remaining six questions.
(3) Assume necessary data but justify the same
(4) Figures to the right in paranthesis indicate full marks
(5) Use of scientific calculator is allowed
1. (a) Find Bowley?s coefficient of skewness for the following data:
Class
Interva
ls
0-4 4-8 8-12 12-16 16-20 20-24 24-28
Freque
ncy
10 12 18 7 5 3 4
(10)
(b) X is normally distributed and the mean of X is 30 and standard deviation is 5. Find
the probability of the following:
1) X ? 45 2) 26 < X < 40
P(0 ? z ? 2) = 0.4772 P(0 ? z ? 8) = 0.2881 P(0 ? z ? 3) = 0.4986
(10)
2.
(a) Find Spearman?s rank correlation coefficient for the following data:
Marks in DM 68 64 75 50 64 80 75 40
Marks in WT 62 58 68 44 81 60 68 48
(10)
(b) An urn contains 6 white, 4 red and 9 black balls. A person draws 3 balls from the
box at random. Find the probability that among the balls drawn none is red?
(10)
3.
(a) If X is a Poisson variate such that
P(X=2) = 9P(X=4) + 90P(X=6)
Find the value of ?
(10)
(b) The first of the two samples has 100 items with mean 15 and standard deviation 3.
If the whole group has 250 items with mean 15.6 and variance 13.44, find the
standard deviation of the second group.
(10)
4. (a) Find the mean and variance of Binomial distribution (10)
(b) Obtain the median for the following frequency distribution.
Wages (in
Rs)
2000-3000 3000-4000 4000-5000 5000-6000 6000-7000
Number of
workers
3 5 20 10 5
(10)
5.
(a) A machinist is making engine parts with axle diameters of 0.7 inch. A random
sample of 10 parts shows a mean diameter of 0.742 inch with a standard deviation
of 0.04 inch. Test if the work is meeting the specifications. Tabulated value of t is
1.833.
(10)
(b) In a random arrangement of the letters of the word ?MISSISSIPPI?, find the
probability that all the I?s come together
(10)
Paper / Subject Code: 54704 / Probability & Statistics
F3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
F3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442DF3C3F0A594661FB3BCA1D075375F442D
71623 Page 2 of 2
6.
(a) A continuous random variable x has the following probability density function:
f(x) = ax , 0 < x < 1
= a , 1 < x < 2
= -ax + 3a , 2 < x < 3
= 0 , otherwise
Compute P(x < 1.5)
(10)
(b) The scores of 2 cricketers A and B in a series are:
A: 50 34 70 27 19
B: 81 0 15 68 25
Find out who is more consistent using coefficient of variation
(10)
7. (a) Find the expectation of the number on a dice when thrown. Also find the variance. (10)
(b) Weights in kilograms of 10 students is given below:
38, 40, 45, 53, 47, 43, 55, 48, 52, 49
Can we say that the variance of the distribution from which the above sample is
drawn is 20 kg? ( Tabulated value of Chi Square is 16.99)
(10)
_______________________________________
Paper / Subject Code: 54704 / Probability & Statistics
F3C3F0A594661FB3BCA1D075375F442D
FirstRanker.com - FirstRanker's Choice
This post was last modified on 05 February 2020