Expectation i.e. ‘E[X]’ in Words

A Random variable is a variable whose value is determined by some random event. The Expectation of random variable ‘X’ i.e. E[X] is the central tendency of X when picked once randomly from the sample space (i.e. a homogeneous/ heterogeneous space of all possible outcome).

1. E[X+c] = ?

So, E[X+c] = E[X] + c

2. E[cX] = ?

So, E[cX] = c.E[X]

3. E[X+Y]=?

So, E[X+Y]=E[X]+E[Y]

4. Why E[XY] = E[X] * E[Y]?

5. What is Linearity of Expectation?

6. Conditional Expectation?