(a)Now, we are going to roll two dice and record Y = the average of the two dice. (Again, don't actually roll the dice since then Y won't be random.) Notice that

Y = ^X1^+X2where X1 is the value of the first dice, etc. Use this fact, your answers

2

to parts (a) and (b), and the formulas/rules on pages 272 and 275 to:

i.Find the mean for the random variable Y.

ii.Find the standard deviation for the random variable Y.