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Engineering Mathematics: Nuclear Quiz 2
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Question 1
The solution of the differential equation 
Question 2
If 
is general solution of a homogenous equation. The auxiliary equation is
is general solution of a homogenous equation. The auxiliary equation is
Question 3
A body originally at 60 °C cools down to 40 °C in 15minutes when kept in air at a temperature of 25 °C. What will be the temperature of the body at the end of 30minutes?
Question 4
The respective expressions for complimentary function and particular integral part of the solution of the differential equation
are
are Question 5
If X is a continuous random variable whose probability density function is given by
Then, K = ________.
Question 6
Type II error in hypothesis testing is
Question 7
A committee consists of experts taken from three institutions A. B and C, of which 2 are from A, 3 are from B and 4 are form
C. If three experts resign, then the probability that they belong to different institutions is
C. If three experts resign, then the probability that they belong to different institutions is
Question 8
Probability density function of a random variable X is given below
is
is Question 9
If x has the probability density
and g(x) = e 3x/4
What is the expected value of g(x)?
Question 10
Two dice each numbered from 1 to 6 are thrown together. Let A and B be two events given by
A: even number on the first dice.
B: number on the second dice is greater than 4
What is the value of P(AՈB) and P(AUB) respectively?
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Sep 4ESE & GATE CE
