An affine image of a uniform variable

Topic: Random variables and distributions · more questions on this topic
‹ Variance on the unit interval Expected wait for double six ›

Let X be uniform on [0,1] and set Y=10+2X. Find \mathbb{E} Y.

Worked answer (click to show)

\mathbb{E} Y=10+2\mathbb{E} X=10+2\cdot(1/2)=11.