Question

Consider two hypothetical dice, each of eight sides. Both dice also share the same numbers recorded on the eight sides of the dice: 6, 7, 10, 11, 14, 18, 24, 28

One of the dies is fair. The other has a probability density function such that f(24)=f(28)=0.28, with its remaining sample points equi-probable and not equal f(24)

Denote the rolling of the fair die as the random variable X. Denote the rolling of the non-fair die as the random variable Y. X and Y are independent random variables.

Then E(XY)=  (to three decimal points).

Answer 1