If the life of an electric component has an exponential distribution with a mean of 8.9 years, then the rate parameter for the distribution is λ = 1/8.9. The probability that a randomly selected component has a life more than 8 years is given by the survival function of the exponential distribution:
P(X > 8) = exp(-λ * 8) = exp(-8/8.9) ≈ 0.527
So, the probability that a randomly selected component has a life more than 8 years is approximately 0.527.