Mathematics V (KAS-404) - AKTU Question Paper 2022-23
B.Tech · Semester 4 · Free PDF Download
This is the official AKTU Mathematics V Previous Year Question Paper for B.Tech Semester 4, academic session 2022-23. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
Course:B.Tech
Semester:Semester 4
Session:2022-23
University:AKTU / UPTU
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Questions Asked in 2022-23
Mathematics V (KAS-404) — complete question paper
Section AAttempt all questions in brief. 2 x 10 = 20
- aFind the Z-transform of
- bWrite the complex form of Fourier integral representation of a function
- cThe random variable X is said to follow the Normal distribution with mean 9 and standard deviation 3, find ∗ such that >∗ =0.16 . Check whether = is a Probability density function or not
- eWrite Lagrange’s formula for inverse interpolation
- fWhat is the rate of convergence for Newton-Raphson method
- gWhat is F-test? Write the expression and application
- hWrite down the definition of the null hypothesis. (i) What is Statistical Quality Control (SQC)? Define in brief. (j) Define R chart with one application
Section BAttempt any three of the following: 10x3=30
- aFind the Fourier cosine transform of the following function = and hence derive Fourier sine transform of
- bIn a normal distribution, 12% of the items are under 30 and 85% items are under 60. Find the mean and standard deviation
- cDetermine as a polynomial in for the following data: Also estimate functional value if =−2
- dThe annual rainfall in Lucknow city is normally distributed with mean 45 cm. The rainfall during the last five years are 48 cm, 42 cm, 40 cm, 44 cm and 43 cm. Can we conclude that the average rainfall during the last five years is less than the normal rainfall? Test at 5% level of significance. [The tabulated value of $%.%& =2.776 and $%.(=2.132 for 4 degree of freedom.]
- eWhat are the principles of experiment design? Discuss the completely randomized design in detail
Section CAttempt any one part of the following: 10x1=10
- aApply the Fourier transform to solve , and + ,, is bounded
- bSolve the following difference equation using Z-transform: + +1+ +2+=with +-=-,+ =
- bFor a continuous random variable if = 67+1 , 0≤≤1. Then, (i) Find mean of random variable . (ii) Find such that ≤ = >
- bFind the root of the equation cos = using Regula-falsi method correct to 4 decimal places
- aIn an experiment on pea breading the following frequency of seeds were obtained: Red & Yellow Wrinkled & Yellow Round & Green Wrinkled & Green Total Theory predicts the frequencies should be in the proportions 9:3: :3:1. Examine the correspondence between theory and experiment. Test at 5% level of significance. [The tabulated value of ;7 %.%& =7.815 for 3 degree of freedom.]
- bIn two independent sample of size 8 and 10, the sum of the square of deviations of the sample values from the respective means are 84.4 and 102.6. Test whether the differences of variances of populations is segment or not. Use 5%level of significance. >?%.%& 7,9 =3.29 @
- bThe given table shows that the value of sample mean A and the range R for 10 samples of size 5 each. Draw mean and range chart and also comment on the state of control of the process. (Given B7=0.58,C 5=0,C 6=2.115 . Sample
Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.
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