Calculate the expected value e(x) of the given random variable x. x is the higher number when two dice are rolled, or the common number if doubles are rolled. (so, a roll of 4-3 would be given a value of 4 while a roll of 5-5 would be given a value of 5).

4.4722

Step-by-step explanation:

The following table shows the 36 elements of the sample space of the experiment

From this table we can compute the probabilities :

P(X = 1) = 1/36

P(X = 2) = 3/36

P(X = 3) = 5/36

P(X = 4) = 7/36

P(X = 5) = 9/36

P(X = 6) = 11/36

So the expected value equals

1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =

= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =  

4.4722

45

step-by-step explanation: