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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

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

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

Question 8

Probability density function of a random variable X is given below

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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