Mathematics V (KAS-304) - AKTU Question Paper 2022-23
B.Tech · Semester 3 · Free PDF Download
This is the official AKTU Mathematics V Previous Year Question Paper for B.Tech Semester 3, academic session 2022-23. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
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Questions Asked in 2022-23
Mathematics V (KAS-304) — complete question paper
- aState (without proof) the convol ution theorem of the Fourier transform
- bWrite the formula for Fourier sine and cosine transforms
- cA random variable 𝑋 has the following probability distribution: Find the value of 𝑐
- dWrite the probability density function of normal distribution with parameters 𝜇(mean) and 𝜎ଶ(variance)
- eProve that ∆𝑡𝑎𝑛ିଵ𝑥ൌ𝑡 𝑎 𝑛ିଵ ቀ ଵା௫ା௫మቁ , the interval of difference being h
- fWrite the Lagrange’s interpolati on formula for unequal intervals
- gWhat do you mean by level of significance?
- hWrite the formulae for mean and variance of 𝐹െ distribution with ሺ𝜐ଵ,𝜐 ଶሻ degrees of freedom. (i) Write the principles of a n experimental design. (j) Write two advantages of comple tely randomized design (CRD)
- aFind Fourier transform of 𝑓ሺ𝑥ሻ ൌ ൜𝑥, |𝑥| 𝑎 0, |𝑥| 𝑎 , where 𝑎0
- bIn a book of 600 pages, there are 60 typographical errors. Ass uming Poisson law for the error per pages, find the probability that a randomly c hosen 4 pages will contain no error
- cFind by the Regula-Falsi method the real root of the equation 𝑥ଷ െ𝑥 ଶ െ2ൌ0
- dT h e h e i g h t s ( i n c m ) o f 8 m a l e s participating in an athletic ch ampionship are found to be as below: Is the average height is greater than 165cm? Test at 5% level of significance
- eDistinguish 𝑛𝑝 െchart and 𝑝െ chart. The data of defectives of 10 samples of size 100 each is given below: Sample No. 1 2 3 4 5 6 7 8 9 10 Number of defectives Construct 𝑛𝑝 െchart and discuss your findings
- aUsing Z- transform solve the following difference equation
- bFind the Fourier integral representation of the function Hence, show that
- aFind mean and variance of binomial distribution
- bThe probability density function of a continuous random variable 𝑋is given by Find the value of 𝑘 and hence find 𝑃ሺ𝑋2 . 5ሻ
- aUsing Newton-Raphson method to find a root of 𝑥ଶ െ5 𝑥2ൌ0 , correct to five decimal places
- bConstruct the forward difference table for the following data and find 𝑓ሺ6ሻ
- aDiscuss the mathematical model and related assumptions in one way analysis of variance. Also write the null hypothesis in this analysis
- bFit a Poisson distribution for the following data and test the goodness of fit at 5% level of significance
- aDiscuss the statistical analysis of randomized block design (RB D ) f o r o n e observation per experimental unit
- bThe following are the figures of defectives in 22 lots each con taining 2000 rubber belts: Draw control chart for fraction defective and comment on the st ate of the control of the process
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.
Repeated Questions — KAS-304
Questions that appeared in more than one session, found by comparing 2 years of Mathematics V papers (2021-22, 2022-23)
Find by the Regula-Falsi method the real root of the equation 𝑥ଷ െ𝑥 ଶ െ2ൌ0
Appeared in: 2021-22 · 2022-23
Mathematics V — Other Year Papers
AKTU Mathematics V PYQs from other sessions
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