Answer: 2.25
Step-by-step explanation:
Given the following:
x = - - - 0 - - 1 - - 2 - - 3 - - 4 - - 5
P(x) - 1/8, 1/4, 3/16, 1/4, 1/16, 1/8
Expected value = sum of [x * p(x)]
sum of [x * p(x)] = (0*1/8) + (1*1/4) + (2*3/16) + (3*1/4) + (4*1/16) + (5*1/8)
= 0 + 1/4 + 6/16 + 3/4 + 4/16 + 5/8
= 0 + 1/4 + 3/8 + 3/4 + 1/4 + 5/8
Take L. C. M
=0 + (2 + 3 + 6 + 2 + 5) / 8
= 0 + 18/8
= 0 + 2.25
= 2.25
