Download JNTUH (Jawaharlal nehru technological university) MCA (Master of Computer Applications) 1st Sem (First Semester) Regulation-R09 2020 November F3104 Probability And Statistics Previous Question Paper
S OCT 2020
R09
Code No: F3104
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MCA I Semester Examinations October/ November - 2020
PROBABILITY AND STATISTICS
Time: 2 Hours
Max. Marks: 60
Answer any five questions
All questions carry equal marks
- - -
1.
If P(A)=1/2 , P(B)=1/5 , P(AB)=1/10. Find
a) P(A B) b) P(A B c ) c) P(A c B c )
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2.
If f(x) = K x
e
is p.d.f in x , find
a) K
b) the mean
c) Variance.
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3.
Given that 2P(x=0)=p(x=2) for a Poisson variate X. Find the Probability that
a) x 3
b) 2 < x 5
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used
4.
A random sample of size 225 is taken from an infinite population having the mean 55
and the Standard deviation 15. What is the probability that sample mean will be
between 48 and 82.
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5.a)
A Random sample of 100 items is taken from a population whose standard deviation is
5.1 the mean of the sample is 21.6. Construct 95% confidence interval for the mean.
b)
It is claimed that a random sample of 100 tyres with a mean life of 15269 is drawn from
a population of tyres which has a mean life of 15200 km and a standard deviation of
1248 km. Test the validity of the claim at 95% level.
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6.
A sample of 900 members has a mean 3.4 cms and S.D 2.81 cms another sample of
500 members has a mean 4.2 cms and S.D 2.1 cms. Test the difference between the
means at 95% level.
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7.
Five unbiased dice were thrown 96 times and the number of times 4 or 5 or 6 was
obtained is given below.
No. of dice showing 4 or 5 or 6 0 1
2
3
4
5
Frequency
1 10 24 35 18 8
Fit a suitable distribution and test for the goodness of fit.
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8.
If x = y = , if
1 4
Tan
is the angle between the two Regression lines, find the
3
correlation coefficient.
[12]
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This post was last modified on 16 March 2023