Download JNTUH (Jawaharlal nehru technological university) MCA (Master of Computer Applications) 1st Year (First Year) Regulation-R19 2022 May 861AD Computer Oriented Statistical Methods Previous Question Paper
R19
Code No: 861AD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MCA I Semester Examinations, May - 2022
COMPUTER ORIENTED STATISTICAL METHODS
Time: 3 Hours
Max.Marks:75
Answer any five questions
All questions carry equal marks
- - -
1.a)
In a bolt factory machines A, B, C manufacture 20%, 30% and 50% of the total of their
output and 6%, 3% and 2% are defective. A bolt is drawn at random and found to be
defective. Find the probabilities that it is manufactured form (i) Machine A
(ii) Machine B (iii) Machine C.
b)
The daily consumption of electric power (in millions of kw-hours) is a random variable
1
x
xe , x 0
having the probability density function f x
3
2
0,
x 0
If the total production is 12 million kw-hours, determine the probability that there
is power cut (shortage) on any given day. [5+10]
2.a)
A random variable x has the following probability distribution.
=
1 2
3
4
5
6
7
8
( = ) 2 3 4 5 6 7 8
Find the value of
) ii) ( 2) iii) (2 ? 5).
b)
Find the constant K such that
Kx2, if 0 < x < 3
f(x) = {
is probability density
0, otherwise
function. Also find mean of X.
[5+10]
3.a)
If two cards are drawn from a pack of 52 cards which are diamonds, using Poisson
distribution, find the probability of getting two diamonds at least 3 times in 51 consecutive
trials of two cards drawing each time.
b) Out of 800 families with 5 children each, how many would you expect to have i) 3 boys
ii) 5 girls iii) either 2 or 3 boys? Assume equal probabilities for boys and girls.
c)
If X is a Poisson Variate such that
1
3( = 4) = ( = 2) + ( = 0), find
2
i) mean of ii) ( 2) [5+6+4]
4.a)
Fit a Poisson distribution to the following data:
x
0
1
2
3
4
5
6
7
f
305
365
210
80
28
9
2
1
b)
The probability that an entering student will graduate is 0.4. Determine the probability that
out of 5 students i) one will graduate ii) at least one will graduate. [10+5]
5.a)
Prove that mean, median and mode of a Normal distribution are equal.
b)
If X is a normal variate with mean 30 and standard deviation 5. Find the probabilities
that i) 26 40 ii) 45.
[10+5]
6.a)
Population consists of five numbers 2,3, 6, 8 and 11. Consider all possible samples with
replacement from this population.
Find
i) The mean of population
ii) The standard deviation of population.
iii) The mean of sampling distribution of means.
iv) The standard deviation of sampling distribution of means.
b)
A sample of size 300 was taken whose variance is 225 and mean 54. Construct 95%
confidence interval limits for the mean .
[9+6]
7.a)
Write a short notes on Type-I and Type-II errors
b)
A random sample of size 81 was taken whose variance is 20.25 and mean is 32. Find the
maximum error and construct 98% confidence interval.
c)
A sample of size 300 was taken whose variance is 225 and mean 54. Construct 95%
confidence interval limits for the mean .
[5+5+5]
8.a)
The two regression equations of the variables x and y are = 19.13 - 0.87 and
= 11.64 - 0.50 find i) mean of ii) mean of y's iii) correlation coefficient between
x and y
b)
Calculate the regression equations of on from the data given below, taking deviations
from actual mean of and
10 12 13 12 16 15
40 38 43 45 37 43
Estimate the value of when = 20.
[7+8]
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This post was last modified on 16 March 2023