Mathematical Foundation Ai Ml And Data Science (KAI051) - AKTU Question Paper 2023-24
B.Tech · Semester 5 · Free PDF Download
This is the official AKTU Mathematical Foundation Ai Ml And Data Science Previous Year Question Paper for B.Tech Semester 5, academic session 2023-24. 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 2023-24
Mathematical Foundation Ai Ml And Data Science (KAI051) — complete question paper · 100 marks · 3 Hours
- aExplain the reading and in terpretation of bar graphs. 1
- bUsing Chebyshev’s inequality, calculate the percentage of observations that would fall outside 3 standard deviations of the mean. (iii) 90%
- cDiscuss the need of sampling. 2
- dExplain the use of chi squar e test in hypothesis testing. 2
- eBriefly explain Gibbs sampling. 3
- fInterpret the need of r andom number generator. 3
- gDiscuss vector space. 4
- hExplain linear independence. 4 (i) Differentiate between symme tric matrix and anti symmetric matrix. 5 (j) Discuss eigen value and eigen vectors. 5
- aThe following table shows the number of Maruti car sold by five dealers in a particular month: Dealer Saya Bagga Links motors Bhasin Motors Competent Cars Sold Represent the above information by a bargraph
- bDiscuss Central limit theorem with applications. 2
- cExplain Metropolis H astings algorithm. 3
- dExplain the proof of Cauchy-schwarz Inequality. 4
- eExplain orthogonal diagonaliza tion with the help of an example. 5
- aThree persons A,B,C have applied for a job in a private com pany. The chance of their selections is in the ration of 1:2:4. The proba bilities that A,B and C can introduce changes to improve the profits of the c ompany are 0.8, 0.5 and 0.3 respectively. If the change does not take place, find th1 probability that it is due to the appointment of C. MATHEMATICAL FOUNDATION AI , ML AND DATA SCIENCE
- bDetermine the mean and variance of the random variable X ha ving the following probability distribution
- aCalculate the ANOVA coeffi cient for the following data: Plant Numbe r A v e r a ge Span S Hibiscus 5 12 2 Marigold 5 16 1 Rose 5 20 4
- bDiscuss the steps involve d in dimensionality reduction using PCA. 2
- aExplain the Joint dist ributions mentioned below: (i) Discrete Joint Distributions. (ii) Continuous Joint distributions. (iii) Multinomial Distribution
- bThe breakdown of ages of all visitors to a convention is gi ven in the table below. Fabine wants to take a stratified sample of the visitors at the convention She choses a sample size of 80. Calculate how many people she w ill need to sample from each age group. ge Number of people
- aExplain the Gram Schmidt Process. 4
- bExplain how to find a basis of vector space. 4
- aDiagonalize the matrix
- bShow that the transformation T: V 2(R) → V2(R) defined by T(a, b) =
- a+ b, a) ∀ a, b ∈ R is a linear transformation
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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