BCom FY BCom Sem 2 BCom Sem 2 (2021 2022) May 2022 MATHS AND STATS Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Multiple Choices questions: 50 marks
2. Q1 For the demand x, the price is p = 21 + x? if the cost function for x items is c = x + x* then the profit when just 1 itemis
3. Q2 Ify = 100-10 then = is
4. Q3 The cost of manufacturing x toys is C = x2 — 5x + 7 then the Marginal cost of manufacturing 10 toys is
5. Q4 For the demand D = 2 — 3p + p? the demand when
6. Q6 For fixed sum invested for 3 years, simple interest will always be than
   • a) Equal
   • b) Greater
   • c) Lesser
   • d) Sometimes greater and sometimes lesser 5 Amount afte: 3 years is
7. Q8 The accumulated amount after 3 years of an immediate annuity of Rs.5,000 p.a. with the rate of interest of 6% compounded annually is Rs
8. Q9 An annuity in which each payment is made at the beginning of the year is called
   • a) annuity due
   • b) annuity certain
   • c) Immediate annuity
   • d) uniform annuity
9. Q10 A loan of Rs.80,000 is returned in 3 monthly installments at 12% p.a. find the EMI using the Flat rate Method
10. Q11 Karl Pearson’s coefficient of correlation from the following:
11. Q12 If x and y are independent than coefficient of correlation between x and arl pearson’s coefficient of Correlation from the following:
12. Q14 If the values calculated for 10 pairs of x and y variables are: = > re s.d of x=3, then s.d of yis
13. Q15 For a bivariate data. = 53, = 28, byx = -1.2 line of regression Y on X is
14. Q16 Change in trend values due to earthquake is an example of is an example of
    • a) Secular trend
    • b) Seasonal variations
    • d) Irregular variations
15. Q17 If quarterly average is 16 and grand average is 20, then seasonal index of that
16. Q18 If = 440 = 320 then cost of living index No is
17. Q19 If laspeyre’s Index No is 120 and Paasch’es inden No is 125, the po: (D-B) is
18. Q20 Arrangement of data in historical order is called
    • a) Correlation
    • b) Regression
    • c) Index numbers
    • d) Time series
19. Q21 For anormal distribution, standard deviation is 15. Quartile deviation is
20. Q22 Poisson distribution is a limiting case of Binomial distribution when
    • a) nis very small and p is very large
    • b) nis very large and p is very small
    • c) nand p are very small
    • d) nand p are very large
21. Q23 Foi a Poisson distribution, P(0) = P(1), then mean is
22. Q24 For a Binomial distribution containing 14 independent Bernoulli trials, P(failure) = 4/7, then mean is equal to How many outcomes are there in a Bernoulli trial?
23. Q2 Attempt any Two of the following: 10 marks
    • a) For the Supply function S= 2p + 10, find the Supply when Price is 3 and also find the price when Supply is 18
    • b) Differentiate the following functions W. t. x
    • C) Find the extreme values for the function
24. Q3 Attempt any Two of the following: 10 marks
    • a) The difference between Simple interest and compound interest on certain amount for 4 years at 10% p.ais Rs. 1,282. Find the Principal
    • b) Mr. Vinod lent Rs. 8,000 to Mr. Ram and Rs. 10,000 to Mr. Raj for a period of 5 years at same rate of interest and received total Simple interest of Rs. 6,750. Find Simple interest paid by each of them
    • C) A loan of Rs. 50,000 is to be returned in 3 monthly installments at the rate of 10%p.a. compounded Monthly. Find the EMI using the reducing balance method
25. Q4 Attempt any Two of the following:
    • a) Estimate the marks in statistics of a student who secured 65 marks in mathemai'cs from the following Bivariate data:
    • b) Find Spearman’s correlation coefficient for the following data showing the marks given by two judges to Participants in a talent contest:
    • C) The regression equation of income (x) on expenditure (y) is 3x = 3,900. The ratio of the standard deviation of income and expenditure is 4:3 find the coefficient of correlation between income and expenditure. Also find the average income if the average expenditure is Rs.1
26. Q5 Attempt any Two of the following: 10 marks
    • a) Find five yearly moving averages for the following data
    • b) Find seasonal index of given time Series using simple average method Find Po (L), Po (P) and Po (D-B)
27. Q6 Attempt any Two of the following: 10 marks
    • a) If mean and variance of Binomial distribution are 4 and 2.4 respectively, find n, p and probability of 8 successes
    • b) The average number of phone calls in a call centre is 5. Find the probability that during a specific minute, tne of calls is less than 3. = 0.0067)
    • c) The weekly wages of 8,000 workers are normally distributed with mean Rs. 770 and standard deviation Rs. 70. Find number of workers whose wages are below Rs.700 (area between z=0 and z=1 is 0.3413)

Read from the scan above, so a character or two may differ. The scan is the original.