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Uniform & Exponential Distribution Starter Quiz

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Question 1

Let X be an exponential random variable with rate parameter.Then find variance of X.

Question 2

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

Question 3

A variable X is exponentially distributed for  with mean 1. The probability that the value of X will lie between 1 and 2,  is:

Question 4

X is uniformly distributed variable between 0.1 and 0.6 What is the value of E()

Question 5

X is uniformly distributed random variable that takes values between 0 and 1.

Then the value of E(X3) will be,

Question 6

A point is randomly selected with uniform probability within the square in x-y plane bounded by x=0 to x=2 and y=0 to y=2. Find the expected value of L2 where L is length of the line segment.
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