Bachelor of Commerce (B.Com.) FY BCom Sem 1 Bccom Sem 1 2017 to 2018 Nov 2017 MATH STAT. TECH Question Paper - Mumbai University | munotes

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Questions asked in this paper

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2. Figures to the right indicates marks allotted

Q3 Graph papers will be provided on request
Q4 Use of simple non-programmable calculator is allowed
Q1 Attempt Any Four from the following:
- A) Ifthe market price of a share with face value Rs.100 is Rs.130, how many shares of the company can be bought for Rs.3263 , brokerage being 0.4% 5
- B) Smooth Writing Industry issued some shares of face value Rs.10 each. A dividend of Rs.7500 was declared by the company at 2.5% per share. Find number of shares issued by the company 5
- C) Neil purchased 1200 units of a mutual fund by investing Rs.60000. if the entry load find NAV on the date of purchase 5
- D) Nihar invested Rs.40000 in a mutual fund when its NAV was Rs. dividend of Rs.3 per unit was given on 20-4-2012. Afterwards he sold all the units on 20-8-2012 when NAV was Rs. 16.85. Find his gain if there is no entry and exit load 5
- E) An investor joined the SIP scheme for a mutual fund under which he 5 would invest Rs. 15000 for 5 months. If the NAVs for each month are Rs. 42.6, Rs.45,Rs. 47,Rs.47.5 and Rs. 60, find the average cost using Rupee cost averaging method, the entry load being 2.5% throughout for these months 5
Q2 Attempt Any Four from the following:
- A) From 4 professors and 6 students, a committee of 4 is to be formed. In how many ways the committee can be formed such that it contains only one professor 5
- B) How many numbers of 5 digits can be formed using the digits 1,2,3,4,5,6 such that 5
- i) digit is repeated
- ii) repetition of digits is allowed
- C) How many ways out of 11 members of a.cricket team choose a Captain, Vice-captain and wicket- keeper from among themselves? Solve the linear programming problem graphically. [05] 5
- E) A cracker manufacturer produces two types of crackers, rockets and bombs packed in boxes of hundreds in its two factories. Factory I performs the basic assembly operation. Factory II performs the finishing operation. For financial reason, Factory I has only 180 hours available per week and factory II has 120 hours available. Factory I needs 3 hours on each box of rockets and 10 hours on each box of bombs. Factory II needs 6 hours on box of and 4 hours on box of bombs The profit of the company is Rs.45 per box of rockets and Rs.55 per box of bombs Formulate the LPP to maximize the profit 5
- Q.P. Code :19436
Q3 Attempt Any Four from the following: 5 marks
- A) Find the median and the fifth decile for the following frequency distribution:
- B) Write merits and demerits of mean and mode. 5
- C) histogram and hence locate the mode graphically for the following distribution of marks:
- D) From the following frequency distribution, calculate the standard deviation: 5
- E) For the following data, find the combined mean. Also find which group has more variation. 5
Q4 Attempt Any Four from the following:
- A) Define the following terms with examples: 5
- B) Two unbiased dice are thrown. Find the probability that 5
- i) Number on first die is less than number on second die
- ii) numbers on the two dice is 8
- C) If P(B)=1/3 , P(AUB) =1/6. Find P(A’) and P(ANB). 5
- D). The following table shows a Probability Distribution of a Random Variable X. 5
- E) Four to be selected from a pack of well shuffled 52 playing cards. Find the probability 5
- i) are back
- ii) Only one is king
- Q.P. Code :19436
Q5 Attempt Any Four from the following:
- A) For the following pay off table, suggest the best decision by using, 5
- B) Draw a decision tree for the following decision making problem and suggest the best decision: 5
- C) Define the following along with examples: 5
- i) Acts
- ii) States of Nature
- D) The following is demand distribution of product: The product is sold at Rs. 100 per unit with cost price Rs. 70 per unit. Prepare a payoff tables and decide the best decision. The unit not sold is wasted 5
- E) For the following pay off table, suggest the best decision by EOL method 5

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