Download JNTU Anantapur (JNTU Anantapur) Master of Computer Applications (MCA) 2018 June-July Regular Supply 1st Sem 9FBS101 Probability And Statistics Previous Question Paper
MCA I Semester Supplementary Examinations June/July 2018
PROBABILITY & STATISTICS
(For 2011 (LC), 2012, 2013, 2014, 2015 & 2016 admitted batches only)
Time: 3 hours Max. Marks: 60
Answer any FIVE questions
All questions carry equal marks
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1 (a) Define conditional event, independent event and dependent event.
(b) Three machines I, II, III produce 40%, 30%, of the total number of items of factory. The percentage of
defective items of these machines are 4%, 2%, 3%. If an item is selected at random, find the probability
that the item is defective.
2 A random variable X has the following probability distribution.
Values of x 0 1 2 3 4 5 6 7 8
P(x) a 3a 5a 7a 9a 11a 13a 15a 17a
(i) Determine the value of a. (ii) Find P(x<3), P(x ?3). (iii) P(0
3 (a) Derive mean for normal distribution.
(b) If a Poisson variate 2P(X=0) = P(X=2), find the probability that: (i) P(x ? 3). (ii) P(2 < x ? 5).
4 A population consists of four numbers: 3, 4, 5 and 6. Consider all possible district samples of size 2 with
replacement. Find: (i) Population mean. (ii) Population standard deviation (SD). (iii) Sampling distribution
of means (SDM).
5 (a) The mean and standard deviation of a population are 225 and 278 respectively. What can be assert with
95% confidence about the maximum error if ???? ? = 225 ???????????? ???? = 100?
(b) Construct 95% confidence interval for the mean in question (a).
6 The mean life of a sample of 10 electric bulbs (or motors) was found to be 1456 hours with standard
deviation of 423 hours. A second sample of 17 bulbs (motors) chosen from a different batch showed a
mean life of 1280 hours with standard deviation of 398. Is there a significant difference between the
means of two batches? Also construct 95% confidence limits.
7 (a) Give test statistic for: (i) t - test. (ii) f - test. (iii) ???? 2
- test.
(b) From the following data, find whether there is any significant liking in the habit of taking soft drinks
among the categories of employees.
Employees
Soft drinks Clerks Teachers Officers
Pepsi 10 25 65
Thumsup 15 30 65
Fanta 50 60 30
8 Find the least square regression equation of x
1
on x
2
and x
3
from the following data.
x
1
3 5 6 8 12 14
x
2
16 10 7 4 3 2
x
3
90 72 54 42 30 12
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This post was last modified on 28 July 2020