BCom FY BCom Sem 1 BCom Sem 1 ATKT 2018 To 2019 Mar 2019 ATKT MATHEMATICAL STATISTICAL TECHNIQUES Question Paper - Mumbai University | munotes

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Newer exam Mar 2019 - ATKT FOUNDATION COURSE I Semester-end · BCom sem 1 ATKT 2018 to 2019 →

Questions asked in this paper

(2) Figures to the right indicate full marks

Q1 Attempt any four of the following
- a) Sachin bought 120 shares at market value of Rs. 375 each and brokerage 0.4% Calculate the sum he paid for the transaction. (5)
- b) If the market value of a share is Rs. 120, then how many shares can be purchased for Rs. 60180 with brokerage 0.3%? (5)
- c) Priya invested Rs. 20,000 in a mutual fund with NAV Rs. 15.75. find the number of units acquired by her if,
- 1) there is no entry load the entry load is 2%. 5
- d) An investor sold 500 units of NAV Rs.230/- with exit load 2%. Find the sale value
- e) A person invested Rs. 6888 in a mutual fund and received 44.8 units. If the entry load is 2.5%, find the NAV at the time of purchase. (5)
Q2 Attempt any four of the following
- a) A group contains 4 boys and 5 girls, out of these a committee of 2 boys and 3 girls is to be formed. find the number of ways, this can be done if
- i) There is no restriction on the selection
- ii) A particular boy is included. 5
- b) In how many ways the letters of the word “COMPUTER” can be arranged so as to begin with a vowel & end with a consonant. (5)
- c) Solve the above L. P. Problem graphically
- d) Solve the above L. P. Problem graphically. 5
- e) A toy manufacturer produces toy cars & toy planes, each of which must e processed through two machines A & B. Machine A has maximum of 120 hours available & machine B has a maximum of 180 hours available. Manufacturing a car requires 6 hours in machine A & 3 hours of machine B. Manufacturing a plane requires 4 hours in machine A & 10 hours in machine B. If profits are Rs. 45 for a car and Rs. 55 for a plane, determine the number of cars and the number of planes that should be manufactured in order to maximize the profit Formulate the above problem mathematically as a linear programming problem. (5)
Q3 Attempt any FOUR of the following:
- a) State the merits and demerits of median. 5
- b) Calculate the mean and mode for the following data. 5
- c) The following data represents the weights of students in a class. Calculate the quartile deviation for the same. (5) Weights in kgs 30-40 40-50 50-60 60-70 70-80
- d) The following data gives the frequency distribution of marks of children in a society Calculate the standard deviation for the given data. (5)
- e) The data given below is of marks secured by students of First year and Second year students of a College. Calculate the combine mean of the groups Also find which group is more variable (5)
Q4 Attempt any FOUR of the following
- a) Explain the concept of Mutually Exclusive and Independent event in probability. (where is compliment of A) (5) 5
- c) Two cards are drawn from a well-shuffled pack of cards. What is the probability that
- (1) both are black cards (ii) one is a king card and the other is an ace card. 5
- d) The following is the probability distribution of number of hostesses reporting ill per Find the average number of hostesses reporting ill per day
- e) If two fair dice are rolled, find the probability that the sum of the numbers appearing on the uppermost face of the dice is a number divisible by 3
Q5 Attempt any FOUR of the following:
- a) Explain the following terms 5
- 1) Course of Action (11) Pay-off Matrix
- b) Solve the following decision problem using i) Maximax ii) Laplace Criterion 5
- c) Determine the best decision according to EOL criterion for the following pay-off
- d) Given the pay-off matrix, choose the decision problem using EMV criterion. States of nature > 5
- e) Draw a decision tree for the pay-off table given below and suggest the type of biscuit that should be launched using EMV criterion. (5) Sales (in Rs.) Type of Product

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