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June 17th, 2014, 04:01 PM
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Join Date: Mar 2012
Last year TYB.Com Question paper

Will you please provide me question paper for third year B com course offered by university of Pune ?

Here I am giving you question paper for third year B com course offered by university of Pune in PDF file attached with it so you can get it easily

1. A) Attempt any four of the following : (2 each)
a) Define Bernoulli distribution. Also state its mean and variance.
b) Let X be a Poisson variable with P[X = 0] = 0.15. Find mean and variance
of X.
c) If P(A) = 0.3, P(B) = 0.4 and P(A/B) = 0.32, find . ) B A ( P ∪
d) Find ‘n’ if nP2 = 132.

e) Define Lead time and Buffer stock of inventory.
f) State whether each of the following is true or false :
i) 0 ) ( P = φ is one of the axioms of probability theory.
ii) The critical region in

2 χ -test of goodness of fit is always one sided.
B) Attempt any two of the following : (6 each)

a) Define independence of two events and mutually exclusive events. Can
two events be independent and mutually exclusive simultaneously. Justify
your answer with a suitable illustration.

b) Let X and Y be two independent Binomial variables with parameters
(6, 0.4) and (8, 0.4) respectively.
Find :
i) P(X + Y = 2)
ii) P(X + Y > 8)
iii) Mean of (X + Y) and variance of (X + Y).

c) A company buys in lots of 500 boxes which is a 3 month supply. The cost
per box is Rs. 125 and the ordering cost is Rs. 150. The inventory cost is
estimated at 20% of unit value.
i) What is the total annual cost of the existing inventory policy ?
ii) How much money could be saved by employing the economic order
quantity ?

2. Attempt any two of the following : (8 each)
a) Number of road accidents on a highway during a month follows a Poisson
distribution with mean 5. Find the probability that in a certain month, number
of accidents on the highway will be
i) less than 3,
ii) between 3 and 5,
iii) more than 3,
iv) zero.
b) The joint probability distribution of (X, Y) is given below.

Obtain :
i) The value of K.
ii) Marginal probability distributions of X and Y
iii) P(Y > 2)
iv) Standard deviation of Y.
c) Let X ~ N (0, 1). If the events A and B are defined as : A = { – 0.3 < X < 0.7 }
and B = { 0.1 < X < 0.3}, find (i) P(A) (ii) P(B) (iii) P ) B A ( ∩ (iv) P ) B A ( ∪ .




Attached Files
File Type: pdf Pune University B com 3rd year paper.pdf (1.57 MB, 114 views)

Last edited by Neelurk; March 11th, 2020 at 08:34 AM.
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