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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 _________. (up to three decimal places)

Question 3

X is a uniformly distributed random variable that takes values between 0 and 1. The value of E {X3} will be

Question 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.

The value of x for which the matrix A is not invertible is?

Question 8

Which one of the following does NOT equal ?

Question 9

Consider the following equations:

3x – y – z = 2
3x + y – z = –2
12x + 3y – 4z = –6

The above 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?
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