BSc IT Sem II ATKT NSM Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Solve any three of the following 15 marks
   • a)Write note Conservation laws and engineering
   • b)Define accuracy and Precision.What are round off errors ?Explain, is a mathematical the help ofa the solving of
   • d)Round-off 0.987250 correct to four Significant figures and find Out and
   • e)Find the truncation error and series = 14 — + for computation of first.six terms in expansion at x=2.5
   • f)Define error and its types with Suitable example,
2. Q2 Solve any three from the following
   • a) Find the root of the equation Bisection Method in four Stages
   • b) Using Newton method find ihe root of the equation if f(x)=
   • c)Use secant method to find the rooy of the COSX —xe
   • e)Using Newton Forward difference interpolation formula find f(8)from the following data
   • f)Use Langranges interpolation formula find the values of y and when x=8 from the following
3. Q3 Solve any three of the following the solution of the following system using Guass Seidel method 15 marks
   • c)Solve 1,y(0) =] by Taylor’s series method and calculate y(0.1) and y(0.2)
   • d)Solve following differential by Euler’s Where y(0)=1 and
   • e)Given = 1+ y? where y=0 when x=0.Find y(0.2),y(0.4) and y(0.6) using Runge-Kutta’s dx by Simpsons’s rule,
4. Q4 Solve any three of the following 15 marks
   • a)Fit a second degree of Parabola of the following data
   • b)Using method of least Square fit a equation Of line [x To Ts Te
   • c)Obtain a regression plane by using linear regression to fit the following data
   • d)Two tailors A and B earn Rs.15 and per day respectively.A can stitch 6 shirts and 4 pants while B can stitch 10 shirts and 4 pants per day.How many days shall each work if it is desired te product (at least) 60 32 pants at a minimum labour cost?
   • e)Draw graph with help of the following data
   • f)Find the regression coefficient and.regressiuon line X on Y and Y on X with the help of following
5. Q5 Solve any three of the following 15 marks
   • a)A random variable X fcllow a binomial distribution with mean=2 and variance=1.2.Find
   • b)A random variable X follow a exponential distribution with mean =5.Find
   • c)Consider the probability distribution of a following random variable X
   • d) Following is the c.d.f F(x) of discrete r.v.x
   • i)Find p.m.f of X. ii)P(2< X < 5) < 5/X > 3)
   • e) The number of complaints which a bank manager receives per day is a poison random variable — with parameter m=4.Find the probability that the manager will receive
   • i)Only two complaints on any given day most two complaints on any given day(use e“=0.0183)
   • p.d.f. of continuous random variable X is given by 0 otherwise.Find

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