BSc IT Sem IV 2016 17 2016-17 QUANTITATIVE TECHNIQUES Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q2 solve the following (any two) 10 marks
   • a) Apply simple Euler method to solve xy" if y(0)=2 find y at x=! with h=0.1
   • b) Obtain by taylor series the numerical solution of = 3x + y? find y at by Gauss seidal ;2
   • d) Solve by Gauss Jordan 2x+2y+3z=4 4x-2y+z=9
2. Q3 Solve any Two. 1G of line by least square method
   • b) For a bivariate data n=25 Marks in to subject A & B in a test for 10 students are given. find the spearman rank The following data give the number of years in the pit & the daily earning of 10 Years in the 5 5 5 the regression equation x on y and y on x and alse find regression Solve the following (any two) children were classified according to and clothes they wore table gives the necessary : 400 1% of LC at J Total with clothing Test whether intelligence is evealed the following with 5 children each
   • b) Survey of 320 families with > No. of Boys of Girls 0 Test the goodness of fit. (v=> 4 at fit a poission distribution & test the g ‘ing table are
   • c) In an experiment on vaccination of human being I Given at 5% is 3.84) radio listeners survey 120 persons were interviewed and preference to Marathi or english music were asked. The results are as 10 = Type of music Marathi English whether the preference for music type is dependent on. language Use 5% level of significance (x? at 5% =3.84)
3. Q5 Solve the (any . 10 marks
   • a) Define : i) Central limit theorem
   • ii)poission distribution &Normal distribution with properties & condition
   • b) typist kept a record of mistake made per day during 300 working. days of a year fit a binomial distribution distribution to the data Calculate four about the mean and also find The mean and variance of binomial distribution are 6 & 3find probability that variate than or equal to 2 students of With conditions ; (10) hs . Were ; S and Special a test in Economi follows and a second Omics analysis they were ‘allows. test was held at the imparted a end of itthe De the marks ey idence T at ) students have benefited by random sample of 100 patients treatment - It was observed that 75 patient lrom a certain diease was given aserum limt for the of pat ere relived of the diease Find 93% ge Of patient cured. (95% =1.96) given to two groups of students oups Of students the marks obtained are as Examine the significance of ference between the marks secured the students of above two group. (tat 5% when V=14 is 1.753) Solve any three
   • a) Solve by using Langranges interpolation if
   • b) Using R-K 4" order method find y if = = +2 when at the equation degree of parabola with the help of data Lei X be a discrete random variable with probability mass function by Simplex method, constituted a random sample from Estimate the mean
   • S.D of the population also find the estimate of of sample

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