Question

Determine the mean and variance of the random variable: f(x) = 0.0025x - 0.075 for 30...

Determine the mean and variance of the random variable:

f(x) = 0.0025x - 0.075 for 30 < x < 50 and f(x) = -0.0025x + 0.175 for 50 < x < 70

The answers should be: μ = 2, σ2= 4 But please show all work to come to this conclusion! Thank you!

Homework Answers

Answer #1

The mean is

----------------------

Now

So variance will be

Hence,

Note: For the given pdf random X has range between 30 and 70 so mean of X must be between 30 and 70. It cannot be 2.

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