Download JNTU Anantapur (JNTU Anantapur) Master of Computer Applications (MCA) 2019 May Reg-Supply 1st Sem 9FBS101 Probability And Statistics Previous Question Paper
MCA I Semester Supplementary Examinations May/June 2019
PROBABILITY & STATISTICS
(For 2009, 2010, 2011, 2012 (LC), 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) Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If a marble is
drawn from each box, what is the probability that they are both of same colour.
(b) In a factory, machine A produces 40% of the output and machine B produces 60%. On the average,
9 items in 1000 produced by A are defective and 1 item in 250 produced by B is defective. An item drawn
at random from a day?s output is defective. What is the probability that it was produced by A or B?
2 (a) Let X denote the number of heads in a single toss of four fair coins. Determine: (i) P(X<2). (ii) P(1
2
) for 0 < x < 1, and
f(x) = 0 otherwise. Find: (i) k. (ii) Mean.
3 (a) The mean and variance of a binomial distribution are 4 and 4/3 respectively. Find P(X ? 1).
(b) In a sample of 1000 cases, the mean of certain test is 14 and standard deviation is 2.5. Assuming the
distribution to be normal, find: (i) How many students score between 12 and 15? (ii) How many score
above 18?
4 Let S = {1, 5, 6, 8}, find the probability distribution of sample mean for a random sample of size 2 drawn
without replacement.
5 (a) A random sample of size 100 has a standard deviation of 5. What can you say about the maximum error
with 95% confidence?
(b) A sample of 11 rats from a central population had an average blood viscosity of 9.32 with a standard
deviation of 0.61. Estimate the 95% confidence limits for the mean blood viscosity of the population.
6 (a) A sample of 64 students have a mean weight of 70 kgs. Can this be regarded as a sample from a
population with mean weight 56 kgs and standard deviation 25 kgs?
(b) In a big city 325 men out of 600 men were found to be smokers. Does this information support the
conclusion that the majority of men in this city are smokers?
7 (a) A sample of 26 bulbs gives a mean life 990 hours with S.D of 20 hours. The manufacturer claims that the
mean life of bulbs in 1000 hours. Is sample not up to the standard?
(b) The number of automobile accidents per week in a certain community are as follows: 12, 8, 20, 2, 14, 10,
15, 6, 9, 4. Are these frequencies in agreement with the belief that accident conditions were the same
during this 10 week period?
8 (a) Fit a straight line to the data given below:
X 0 5 10 15 20 25
Y 12 15 17 22 24 30
(b) Calculate the regression equation of Y on X form the following data given bellow, taking deviations from
actual means of X and Y.
Price(Rs) 10 12 13 12 16 15
Amount demanded 40 38 43 45 37 43
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This post was last modified on 28 July 2020