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# Engineering Mathematics : Nuclear Quiz 1

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Question 1

Calculate the expectation of a discrete random variable , for which the probability function is given as

Question 2

In the following table, x is a discrete random variable and p(x) is the probability density. The difference between the variance & the standard deviation is

Question 3

X is a uniformly distributed random variable that takes values between 0 and 1. The value of E {X

^{3}} will beQuestion 4

The standard deviation of a uniformly distributed random variable between 2 and 3 is

Question 5

The value of the following limit _________.

Question 6

The value of is :

Question 7

Consider the following matrix A.

For which value of

For which value of

*x*the matrix A not invertible?Question 8

Which one of the following does NOT equal ?

Question 9

Consider the following equations:

The system of equations will be______.

The system of equations will be______.

Question 10

A system of two linear equations in x and y:

px + qy = r

sx + ty = u

Has a unique solution if:

px + qy = r

sx + ty = u

Has a unique solution if:

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Aug 27GATE & PSU CS

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