Engineering BE Information Technology Sem 5 May 2023 2023 INFT5MATHS FOR DS Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 (a) By using matrices, Solve the following system of linear equation 5 marks
   • (b) Differentiate between Simple Random Sampling and Non random Sampling 5
   • (c) Obtain the Graph of y=log(2x). 5
   • (d) Compare constrained and non constrained optimization Techniques 5
2. Q2 Find Singular Value of Decomposition of matrix A = 10 marks
   • (b) Principal claims that students in his school are above average intelligence. A random survey of thirty students shows mean IQ score of 112.5 Is there sufficient evidence to support principals claim if the mean of population IQ is 100 with standard deviation 15. Test at 5% level of significance. (Given z=1.645 at 5% for right tailed test) 10
3. Q3 (a) was conducted with 500 female students of which 60% were intelligent, 40% had uneducated fathers, while 30 % of the not intelligent female students had educated fathers. Test the hypothesis that the education of fathers and intelligence of female students are independent at 5% level of 10 marks
   • (b) What is a scatter plot and explain types of correlation in scatter plot with 10
4. Q4 (a) Explain types of data. Compare discrete and continuous data 10 marks
   • (b) Discuss the need for exploratory data analysis and explain EDA 10
5. Q5 (a) Find the minimizer of f(x) + using bisection method in (2,5) within 10 marks
   • (b) Minimize the function = 8x, + 10x, + 6x3 + 2x? + x2 + 3x3 10
6. Q6 Write short notes on (any four) 20 marks
   • (d) Feature engineering 5
   • (f) Stem and leaf plot 5

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