Question

Rework problem 1 in section 4.1 of your text, involving the flipping of a loaded coin, but assume that Pr[H] = 0.3. Also, assume that the coin is flipped 4 times, and the random variable X is defined to be 3 times the number of heads minus 2 times the number of tails.
How many different values are possible for the random variable X?

Answer 1

x
3*0-2*4=-8
3*1-2*3=-3
3*2-2*2=2
3*3-2*1=7
3*4-2*0=12

Answer 2

So, how many different values are possible for the random variable X?