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June 17th, 2014, 04:01 PM
 
 
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 ( ∪ . Last edited by Neelurk; March 11th, 2020 at 08:34 AM. 
