Naoki and I are playing a game with an unfair coin that is rigged to come up heads with probability $\frac35$ and tails with probability $\frac25$. Naoki goes first, we take turns, and the first player to flip a tail wins. What is Naoki's probability of winning?

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.