Nagpur Univ M.Com Part 1 Model paper

Will you please provide here Nagpur University M.Com Part 1 model question paper???

[Arun Vats]

You are looking for Nagpur University M.Com Part 1 model question paper, here I am giving:

Section A
1. (a) Describe the addition and multiplication rules of probability with and example of
Each case. [ MARKS 5]
(b) In a randomly selected leap year what is the probability that there are 53 Sunday
Or 53 Wednesday. [ MARKS 5]
(c) A problem in statistics is given to three students, whose chances of solving it correctly
Are ½, 1/3 and ¼ respectively. What is the probability that the problem will not be
solved ? [ MARKS 5]
(d) In how many ways can a vowel and a consonant be selected out of the letters of word
'COURAGE' ? [ MARKS 5]

2. (a) A decision problem has been expressed in the following Pay-off table :

Pay-off Table
State of Nature Alternatives
a1 a2 a3
` ` `
E1 3,800 3,720 3,640
E2 3,280 3,240 3,320
E3 2,840 2,880 3,480

What will be the manager's decision if he uses the following criteria ? [ MARKS 8]
(I) Maxi-max;
(II) Maxi-min;
(III) Mini-max regret;
(IV) Hurwitz criterion with c = 0.7.
(b) The overall pass percentage in certain examination is 70. What is the probability that at least 4
Candidates would pass the examination out of a group of 6 candidates ? [ MARKS 8]
(c) Find the binomial distribution if the mean is 48 and standard deviation is 4. [MARKS 4]

3. Fit a normal curve for the following data and find out theoretical frequencies (µ = 11.57)
[Marks: 20]

Weight (kg) Number of Students
20-30 7
30-40 10
40-50 20
50-60 18
60-70 7

Section B

4. (a) A sample of size 10 is found to have mean of 3.24 cm. Could it be regarded as a sample
From a large population whose mean is 2.74 cm. and standard deviation is 2.5 cm. at 5 per
-cent level of
significance ? [MARKS 10]
(b) Will your answer differ in case you test it at 99 percent level of confidence ? [MARKS 5]
(c) What is central limit theorem ? [MARKS 5]
5. Differentiate between the following : [MARKS 5+5+5+5]
i. type I error and type II error ;
ii. Point estimate and Interval Estimate;
iii. Parameter and Statistics;
iv. Null Hypothesis and Alternative Hypothesis.



6 . Set up a two way ANOVA table for the data given below. Use coding method subtracting
40 from the given numbers :
Plots Treatments
A B C D
P 45 40 38 37
Q 43 41 45 38
R 39 39 41 41

Test two hypotheses, first hypotheses for treatments and second hypotheses for plots. [MARKS 20]
Section C
7. Find out trend values on the basis of parabolic curve of second order from the data given below
And forecast the value for 2010 : [MARKS 16+4]

Year Sales
(RS`in crores )
2005 10
2006 12
2007 13
2008 10
2009 8


8. (A) In an examination in which 500 candidates appeared, boys outnumbered girls by 14 %
Of all candidates. Number of passed candidates exceeded number of failed candidates by 300. Boys
Failing in examination numbered 80. Calculate Yule's coefficient of association between boys and
Success in examination. [MARKS 15.]
(b) Distinguish between association of attributes and correlation. [MARKS 5.]


9. (a) compute the two regression coefficients using the values of actual means of X an Y from the data
Given below, then work out the value of correlation coefficient : [MARKS 15.]

X Y
7 6
4 5
8 9
6 8
5 2

(B) What do you mean by partial correlation ? How is it different from multiple correlation ? [MARKS 5.]