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APJ ABDUI. KALAM TECHNOLOGICAL UNIVERSITY

Fourth Semester B.Tech Degree Examinaiion July 2021 (2019 Scheme)
02U00MAT20405210L

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B.TNh Degree

course code: MAT204
Course Name; സ്ഥാപ RANT'OM PROCESSES 185 AND NUMERICAL.

ME'TItO.1)S
Max. Marks: 100 ۱ Duration; 3 Hours

(Sixtisdeal Tnbles are allowed)
PAR ۲۸ fAnnveraW ques7ion5.* each quesrfon caries
3 marks) Mocks Inn binomial disLribulion, il ig 6. and Ihc varidnce 154, find p&l],

18 binomial distribulion, 11116 oan ம 6, and ihe variance is 4, find PLX=1). 3
2 Given that ५. is 8 probabilliy mass fincrion of 8 rumdom vorinble that ೦೬೧ uke 3
on the values x = 0.1,2,3 ond 4, find (i) K ७७४ (1) P(X 2 2).

3 88 the ಗಾರು and 000೩೦ for the PDF, six) = [7 ^ ತ
4 {Crandom variable X bas 9 uniform disributton in (-3,3), find )1 8 -2 I< 2). 3
5 Deline stationary randorn process, 720070 two types of slationary random process, 3
6 ய down the properves af the 7೦೦೯500017೬! density, 3
7 Write dawn the Newlun’s forward and backwerd difference interpolation formula 3
8 Evaluate ல்‌ with 4 subintervals by Simpson's rule. 3
9 Write the normal equations for Giting a curve of the form y= ७१0०९ ‏تزع 3 10 تبن‎ 3

set of pairs of dala points,
10 Using Euler’s method, find y at x = 0.25, given y ١ = xy, (0) 1, b= 0,25. 3

PARTS
(Answer one full question from cach module, each question carries 14 marks)
Given that z—is a probubilily mass hLncrion of a random

Pagel of 4