Probstat/week4 practice 2

This is part of probstat.

Useful properties

1. For a random variable X and constants a and c, prove that E[aX+c]=aE[X] + c.

2. Let X be a random variable and $\mu ={\mathrm {E} }[X]$, prove that ${\mathrm {E} }[X-\mu ]=0$.

Dinner dish experiment

1. Let