BCom FY BCom Sem 2 BCom Sem 2 (2011 2014) Oct 2014 Mathematics Statistics Question Paper - Mumbai University | munotes
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Questions asked in this paper
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Q1 Attempt any Three of the following: The gainon buying the shares of the market value Rs. 530 each and then selling those within a month’s time at Rs. 640 cach is Rs. 4,283. If the brokerage is charged at 0.25% and assuming that no other benefits like dividend ete are received, while holding the shares find the number of shares traded 15 marks
- b) Two companies A & B have share with face valuc of Rs. 10 each, but their market prices are Rs. 45 and Rs. 36 per share respectively. If the dividend distributed by the companies are 18% and 15%, find out which company is a better W.R.T. dividend
- c) bought 200 units of a mutual fund with NAV Rs. 460 and entry load of 2.25% After receiving the dividend at 50%, he sold the units at the NAV of Rs. 476 and exit load at 0.5%. Find the amount invested, dividend received, amount received from sale and the gain/loss if any
- d) Asum of Rs.10, 000 was invested in a mutual fund at NAV of Rs. 160 and entry load 2%, The company declared two dividends of 50% each, within a year. The units were ‘then sold at NAV of Rs. 188 and exit load of 0.5%. Find the gain and the rate of return ).2. Attempt any Three of the following: (15)
- a) From 4 professors and 6 students, a committee of 3 is to be formed. In how many ways, this can be done if the committee contains: i) at least 2 professors ii) at most 1 professor
- b) Find n for the following:
- ii. 5 =3
- c) A factory manufactures two articles X and Y. To manufacture the article X, a certain machine has to work for 2.5 hours and in addition, a craftsman has to work for 1.5 hrs. To manufacture the article Y, the machine has to work for 1.5hrs & in addition, the craftsman has to work for 2 hrs. In a the factory can avail of 80 hours of machine time and 70 hours of craftsman’s time. The profit per article X is Rs. 100 & per article Y is Rs. 150. Construct the problem to maximise the profit
- d) Solve the L.P.P graphically
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Q3 Attempt any Three of the for the best of assessment. State the of Q Three students are in each catego below, with appropriate | candidates the award. of | weightag
- b) Find the mode for the
- c) Find the quartiles for the 159-162 | 162-165 | 165-168 i No. of students deviation of the following freq
- d) Calculate the mean and standard de 1 40-50 | 50-60 | 60-70 | 70-80 be from a group of 8 boys & 4 girls. Find the Probability ji) at least 1 girl that the committee contains: i) all boys ii)
- b) The probability that the certain new film will getan award for its story is 0.23, the Probability that it will get an award for its music is 0.15, while the probability that it wi get an award for both is Rs. 0.07 what is the probability that it will get an award for i) at least one of the two
- ii) none of these The chances of three independent companies opening new branch are 1/2 , 1/3 & 1/5 Tespectively. What is the chance that all three companies open a new branch
- d) For the probability mass function of random variable x given below, find K & E(x)
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Q5 Attempt any Three of the following:
- a) For the following Probability distribution The following and 3 acts Ay, Az, & the events & State of Nature Acts The probabilities of states of nature are 0.1, 0.7, 0.2 respectively. Find the best decision ABC Company is evaluating 4 alternatives on investments whose returns are based on the state of economy The returns are as follows: Draw a decision tree and determine the expected return for each alternative. Give your
- d) Acard is drawn from a pack of 52 cards. Find the probability that
- ii. card or bears a number between & including 3 & 7
- iii. It is a diamond or a picture card iy, Itis a king or an ace
- v. isa black card or a jack
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