INTERNATIONAL INSTITUTE OF MANAGEMENT & TECHNICAL STUDIES
Maths-I
Q.1 / A) / Given:x: / 0 / 5 / 10 / 15 / 20 / 25
y: / 0 / 0.0875 / 0.1763 / 0.2639 / 0.3640 / 0.4663
Determine y for x=4 and x=12. State the formulae used. / 10
B) / Use Gauss – Seidel Method to solve / 10
Q.2 / A) / Evaluate numerically using 1/3rd and 3/8th formula. / 10
B) / Find approximately y for x=0.2 for , y=1 when x=0 (take h=0.1) by modified Euler’s method. / 10
Q.3 / A) / State and prove the Orthogonally property of Bessel function. / 10
B) / Prove that: i)
ii) / 10
Q.4 / A) / A bag contains 10 white and 15 black balls. Two balls are drawn in succession. Find the probability that one of them is black and other white. / 10
B) / Fit a binomial probability distribution to the following frequency distribution:
x: / 0 / 1 / 2 / 3 / 4 / 5 / 6
f: / 13 / 24 / 52 / 59 / 32 / 16 / 4
/ 10
Q.5 / A) / Given the data:
x: / 1 / 2 / 3 / 4 / 5 / 6 / 7
y: / 10 / 12 / 16 / 28 / 25 / 36 / 41
Find the co-efficient of correlation between x and y. Obtain also the equations of the two regression lines. / 10
B) / Establish the following Z-transforms:
i)ii) / 10
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