B.Com. (Part III) (Semester VI) (CGPA) Examination, 2018
Advanced Statistics (Paper
Day and Date Friday, 7-12-2018 Max. Marks 70
Time 2.30 p.m. to 5.00 p.m.
N.B. All questions are compulsory.
Each question carries equal marks.
Figures to the right indicate full marks.
Use of calculators is allowed.
1. Choose the most appropriate alternative amongst the given for each
question. 14
In binomial distribution "p" denotes probability of
Success Failure
Both a and b None of these
Mean is equal to variance in case of
Binomial distribution Poisson distribution
Normal distribution None of these
Binomial distribution is
Discrete Continuous
Both a and b None of these
The parameters in Poisson distribution are
One Two
Three None of these
Mean of binomial distribution is
pq nq np npq
Normal distribution was discovered by
Guass Karl Pearson Fisher Spearman
Normal curve is
J shaped S shaped Bell shaped Q shaped
The mean of standard normal variate is
0 1
0.5 none of these
The normal curve is symmetric at
mean median mode all of these
10) Which one of the following death rate is a probability rate
CDR SDR
STDR None of these
11) The relation between GRR and NRR is
GRR NRR GRR NRR
GRR NRR None of these
12) Which of the following growth rate considers survival factor
GRR NRR
Pearl's vital index None of these
13) Which one of the following is useful for comparing fertilities in different two
regions
CBR SFR
TFR None of the above
14) For binomial distribution P(X is
pn qn 0 None of these
2. If an unbiased coin is tossed 5 times, find the probability of getting
Exactly 3 heads
ii) At least 3 heads. 7
Define Poisson distribution. State its mean and variance. Give two real life
situations where Poisson distribution is useful. 7
3. Find parameters of Poisson distribution and hence obtain P(X where
P(X P(X 3). (Given e-3 0.0493) 7
Write a short note of CDR. Give its merits and demerits. 7
4. Attempt any one of the following
State various properties of normal distribution and sketch X 4). 14
Define STDR, compute CDR and STDR of two populations A and B regarding
A as standard population from the data given below. 14
Age group A B
Population D eaths Population D eath
Under 10 20000 600 12000 372
10 20 12000 240 3000 660
20 40 50000 1250 62000 1612
40 60 3000 1050 15000 525
Above 60 10000 500 3000 180
5. Attempt any one
Define binomial distribution stating a real life situation. Obtain its mean and
variance. 14
The incomes of a group of 10,000 persons were found to be normally
distributed with mean Rs. 520 and SD Rs. 60. 14
Find
The number of persons having income between Rs. 400 and Rs. 550.
ii) The number of persons having income less than Rs. 421.
iii) The number of persons having income greater than Rs. 619.
(Given for S.N.V.Z. area between 0 and 2 is 0.4772, between 0 and 0.5 is
0.1915 and between 0 and 1.645 is 0.45)