The actual time until breakdown for a treadmill is modelled by an exponential distribution with a mean time of 8 years. However, the new mechanical inspector, Anny, is only interested in the integer number of years until treadmill breakdown. She assumes S to be the integer number of years until treadmill breakdown. Thus, if the treadmill breakdown within the first year, Anny consider that as 0 year until breakdown; if the treadmill does not breakdown during the first year but it breakdown in the second year, Anny consider that as 1 year until breakdown; and if the treadmill does not breakdown during the first two year but its breakdown in the third year, Anny consider that as 2 years until breakdown, and so on. At the end, Anny found that the random variable S has a geometric distribution and the mean of S equal to 1/8. Determine whether the statement that made by Anny is true or false. Explain your answer