The accompanying table shows the probability distribution for x, the number that shows when a loaded die isrolled. Find μ, the mean for this probability distribution.

x 1 2 3 4 5 6
P(x) 0.15 0.13 0.15 0.10 0.10 0.37

Question

The accompanying table shows the probability distribution for x, the number that shows when a loaded die isrolled. Find μ, the mean for this probability distribution.

x        1          2        3       4        5      6 
P(x)   0.15  0.13  0.15  0.10  0.10  0.37

dumbcow · Answer

mean = sum of x*P(x)
=.15+.26+.45+.4+.5+2.22
=3.98