A recent study of the lifetime of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 38 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.2 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population and the correction factor can be ignored. Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places.