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

Questions asked in this paper

1. Q2 Solve any Two. 10 marks
   • a) Apply simple Euler method to solve if find y at x=1 with h=0.1
   • b) Obtain by Modified Euler method = 4x + y? + 7xy find y at
   • c) Solve by Gauss seidal 33
   • d) Solve by Gauss Jordan 2x+2y+3z=4
2. Q3 Solve any Two. 10 marks
   • a) Fit of Second degree of parabola by least square method
   • b) a bivariate data n=10
   • c) Marks in to subject A & B ina test for 10 students are given. find the spearman rank
   • d) In apartially destroyed laboratery record only the lines of regression of y on X and Xon Y available as 4x-Sy+33=0 and 20x-9y=107.Find mean of x and y and coefficient of correlation Solve any Two. 10
   • a) Weight in kg of 10 student are given can We say that variance of the distribution of Weights of all students from which the above sample of 10 students was drawn is equal to 20 square Test whether intelligence is associated with 1%
   • b) A typist in a company commits the following number of mistake per page in typing 432 pages No. of Girls 142 48 4 fit a poission distribution & test the goodness of fit. (v=5 x? ut is | 1.07)
   • c) In an experiment on vaccination of human being form the following table are obtained Given (v=1, at 5% is 3.84)
   • d) The following data pertain to two types of Tube Bulbs tested for their length of life Test whether there is a significant difference between the two means at 5% level
3. Q5 any Two
   • a) Define : i) Central limit theoreii distribution &Normal distribution with properties & condition
   • b) A Mohan kept a record of mistake made per day during 300 Working days of a year No of days 123 100 fit a binomial distribution distribution to the data
   • c) Calculate four moments about the mean and also find from data
   • d) The mean and variance of binomial distribution are 6 & 3find probability that variate takes
   • i) Less than or equal to 2 ii) Greater than equal to 7
4. Q6 Solve any two. i0
   • a) Define student t-distribution with conditions and properties
   • b) A random sample of 160 people is taken and 120 were in favour of liberalizing licensing regulation with 95% confidence what Proportion of all people are in favour
   • c) Inacity A 20% ofarandom sample of 900 school had a certain slight physical defect In another city B 18.5% of a random sample of 1600 school boys had the same defect Is the difference between the propotion significant?
   • d) A test given to two groups of students the marks are as Examine the significance of difference between the marks secured the ents of above group. (tat 5% when V=14 is
5. Q7 any three. 1S
   • a) Solve by using Langranges interpolation if ‘
   • b) Using R-K 4" order method find y if +3 when at x=1.2 taking Fit the equation of line with the help of data
   • d) Let X bea discrete random variable with probability mass function
   • e) Solve by Simplex method,
   • f) Two samples of sizes 9 and 8 give the sum of square of deviation from their respective means equal to 160 inches and 81 inches can these be regarded as drawn from same population,

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