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APJ ABDUL KALAM 9111410१ १1010117 19,
Fourth Semester B.Tech Degrees Exarminetion July 2021 (2019 Selwme)

ReaNo.:
Fourth Serneslcr H.Tr,ch
Course Code:MAT2
Course Name: PROBABILITY, STATISTICS ?NUMERICAL
AND ‏ترک ر رھ‎ DT
IW,TBons
Max. Marks: | 00 Duration: 3 Hourg
(Norma' dish-ibution 8016 and (~ distribulion ‘able are iillowed) PART A
wer aéfquesrious; cach question carries 3 marks) M ario
1 Delennine [he binomial dismbuliOn 110 whiclL mean is 4 and varinace is2X 3
follows Poisson dislribulion mean 6. Find P(X =I), Variance (X) 3
3 A continuous mndom variHble X PDF f (x) ⋅

Debamine k (ij) ए (X D) 3
4 A random variable X Codows exponeniial di;itibulion Wilh mean Find 3 00. 3),
Variance(X)
3
The pmpoaion of a characlerislic or d popukllion is p = 0.37. Find the mean 3
2110 0" 11*0 sample pmponion oblained from a sample or sin ) 00,
A semple mean 35 and standerd deviation I I fram 3 70೦0೩181101. Find con'idente

in[erval Ibe popula*ioa mean. Use Itgpezoidal rule X-%Lr considecing live

subinlavals.
3
6 A sample of size 49 is aken with mean 35 and standard deviation ۱۱ fram

population. Find the 99% confidence interval for the population mean,
7 Use trapezoidal mile ‏ها‎ 01011110 1 x7 dy considering Live subintervals,
8 Find a root between 0 and 1 for 2052 = 3x - 1 using Newlon- Rumpisson
method correct fo 3 00017781 places,

4

Use Rungi-Kulls 7180100 of second arder 10 find y(0.1) மர = =
೫0) = 1. Toke tk = 0.1}
10 Given Z=1—y, ற(0) = 0, Use Buler’s method with k= 0.1, ‏ما‎ மாவ

the value of y(0.2),

ںا
‎3२4२५‏

PARTE
(Answer one full question from cach module, ₹001 question carries 14 ج٤‎

Module -1
11 a) The pdf of ‏هم‎ random variable X 18 given below. Find
k, P(X ಆ 4), £ (>), Var).
b)

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