Expected absolute value of continuous random variables

[Ivy12]

Hi guys how are you all?
I have a problem with expected value of continuous random variables. Example how do I expand E[|X-b|], where b is a constant and X is a continuous random variable
in the range - ∞ and ∞ .
Thanks in advance.

 

[Deleted member 4993]

Hi guys how are you all?
I have a problem with expected value of continuous random variables. Example how do I expand E[|X-b|], where b is a constant and X is a continuous random variable
in the range - ∞ and ∞ .
Thanks in advance.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520​

Please share your work/thoughts about this problem.

 

[Steven G]

How do I expand E[|X-b|]? By the definition?