North Maharashtra University 2011 B.E Computer Science and Engineering .s.ecomputer - Question Paper
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ENGINEERING !VtA rHta4ArKS-.|II(NeWy
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P. Pages; 4 Time ; 3 Hoar*
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Instructions r IJ Do not write anythin* quenion paper ww Seat No
2) Anser*he*t should H wrlitrn in bine ink only Graph or diagram shouU be <** with the uune pen being used for writing paper or black HB pem ,l ?
J) Student should note,mo suppUmmi wilt be provided.
4) All questions are l ompmbory
5) Figures to the right indicate full marki*
6) Use trf statistical table is Mowed
7) Use of non profitammable calculator u nltr**d _____8J Assume suitable datg U necttsary
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a) Solve (D3 - 7D - 6)y * co*h x co* I
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b) Solve
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: method of variation of parameter* d
Sec ax
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r dui j
r i + ar
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d) Solve u f a dr
e) Solve aimoftaneously
dx
y*e
.... .W<
dt
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The differential equation for the electnc charge Q of an electrical cimat ____t C and an aUemmtint e .mi* Esuuit tppUM
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2. Attempt any two ;
a) i) Find 7jkV'*U(k~l>)..v$
ii) Find the Courier integral repr*,tauon of | Co# *,|x{sn/2 I 0,|x
b) i) Find Z
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ii) Solve the luUam* difference equation uttng Z-tramform
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c) t) Find z|4*Sin(2k + 3)]k>0.
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ii) Find the Fourier transform of
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3. Attempt an; four , |
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i) Use Laplace transform to evaluate jit * tin1 tdt
m) Fmd Lfle"*lH<t-l)| iii) Find Laplace transform of f(t)
It, 0<t<t
k-I, *<t<2*
if ftt)*f (t 2*>.
foh?] "*
iv) Find L'
.ii'Ac
v) Find (
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Solve nun* lpt>cc twmform. y' + 2y* * y - teH,y<0) -1. y'<0>--2.
vi)
uio| the con vohutoo theorem.
a) i) Given th distribution of wages in two faclorie* X and Y
No. of
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Wages in R.
50- 100
100- 150
150 ZOO 200 ~ 250
250 - 300
300 - 350
State m which factory the wage* are more variable ii) The first four central inomenu of a distribution arc 0. 2 J. 0.7 and IS TR,
11mi the cocfficicnt of tkewneu and kurtims
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it) If the probability that an individual suffers a bad reaction frocn a certain injection i* 0.001, determine the probability that oai of 2000 indivtdoaU exactly 3 more than 1 will iutfer a bad reaction
c) ) hind the line* of regrewlon f'ot the following data
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16 T 18 |
26 |
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Intimate y f*r x 24. ujf Fit m binomial distribution to the following data ;
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5. Attempt an; two r
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a) ii A sugar factory is cxpccted to sell Mgar in 100 Kg bag*. A sample of 144
bags taken from a day'a output show* the average and standard deviation of these bags as 99 and 4 Kg. respty. Can we conclude that the factory i* working as per standards ? f \7\ 1.961. >,
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ii) State the p.d.f. of beta distribution. Us mean and variance "'
b) i) From the following table, showing the number of plants having certain
characters, test the hypothesis that Uu flower colour is independent of flatness of leaf at 5% LOS.
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(Given rQM , - 3.84J *
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ii) Describe in brief the Chi-squarr trst far testing goodness of fit of probability distribution
c) i) Define the terms critical region, null hypothesos. alternate hypothews and level of significance
it) Fit a FotMon distribution to the ivqr daU and tet for its goodne** of fit 3% I.a.*.
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Attachment: |
| Earning: Approval pending. |
