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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 
, 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 :
is :
Question 7
Consider the following matrix A.
The value of x for which the matrix A is not invertible is?
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______.
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?
px + qy = r
sx + ty = u
Has a unique solution if?
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Jun 16GATE & PSU CS
