F.Y. B.B.A./B.C.A. (Second Semester) EXAMINATION, 2018
204 COMPUTER APPLICATION IN STATISTICS
(2013 PATTERN)
Time Three Hours Maximum Marks 80
N.B. All questions are compulsory.
(ii All questions carry equal marks.
(iii Figures to the right indicate full marks.
Use of calculator is allowed.
1. Attempt any four of the following
Explain Addition and Multiplication Principle of counting.
How many three digit numbers can be formed from the digits
9 if each digit is to be used only once How
many of these are divisible by 5
Define mutually exclusive events and exhaustive events.
There are 10 professors and 20 students. Out of these a committee
of 2 professors and 3 students is to be formed. In how many
ways can it be done
P.T.O.
[5363]-204 2
Determine which of the following are deterministic and non
deterministic experiments
The no. of customers entering a post office in a day.
(ii Cooling water below 0 degrees Celsius.
(iii Rolling of a die.
Gender of a new born baby is recorded in a hospital.
Find n if nP4 10 nP3.
2. Attempt any four of the following
Explain the following terms.
Sample space
(ii Elementary event
The letters of the word 'ARTICLE' are arranged at random.
Find the probability that the vowels occupy the even places.
If P 0.6, 0.5, P 0.3 Compute
Define Discrete Uniform distribution. State its mean and variance.
Write sample space for the following experiments.
No. of tossing of a dice is recorded, when it is tossed
until 6 occurs.
[5363]-204 3 P.T.O.
(ii T.V. viewers were asked to give ratings to 3 programs
(iii A two digit number is formed from the digits 6
using each digit only once.
Answers to an objective question which has 4 multiple
choices D. Student ticks a single answer.
In a basket there are 5 mangoes and 4 oranges. lf any 3
fruits are to be selected from these, find number of possibilities
which
At least one mango is selected.
(ii Exactly two mangoes are selected.
3. Attempt any four of the following
Explain classical definition of probability. Also state addition
theorem of probability.
If X follows Binomial distribution with parameters n 6 and
p 1/3. Find
P
(ii P 4).
Suppose A and B are mutually exclusive events for which
P 0.3, P 0.5. What is probability that
Either A or B occurs
(ii A occurs but B does not occur
(iii Both A and B occur
Neither A nor B occurs
[5363]-204 4
Let x follows Binominal distribution with parameters n p
Find n p if 6 and Var 4.2
(ii If P 0.6 and find n and Var
Define
Independence of events
(ii Impossible event.
Define Binominal Distribution. State its mean and variance
4. Attempt any four of the following
Suppose a card is drawn at random from a pack of 52 playing
cards. Let event A getting a spade card, B getting a
king. Are A and B independent
Explain merits and demerits of simulation.
Compute 4 random numbers using linear congruential generator
Xi+1 (5Xi mod 8 with X0 8.
Write a note on Pseudo random number generator.
A box contains 20 light bulbs of which 6 are defective. 4 light
bulbs are chosen at random from the box. Find probability
that
None is defective
(ii Exactly 1 is defective.
Define Bernoulli distribution. State its mean and variance.
[5363]-204 5 P.T.O.
5. Attempt any two of the following
At a garage number of cars arrived for repairs is a random
variable having Binomial distribution with parameters n 10
and p 0.6. Simulate number of cars coming for repairs on
5 days. (Use calculator to generate random numbers.)
The daily demands for the items with associated probabilities
are given below
Daily demand Probability
0 0.01
15 0.15
25 0.20
35 0.50
45 0.12
50 0.02
Simulate demand for next 8 days using random numbers
21, 27, 47, 54, 60, 39, 43, 25.
A Certain company encourages its employees to participate in
Cricket and Hockey. A survey indicates that 40% play Cricket,
50% play Hockey and 25% play Cricket and Hockey both.
Find probabilities of the following events
An employee plays only Hockey
(ii An employee plays only Cricket
(iii An employee takes part in at least one of the games,
cricket and hockey
An employee does not play either game.