The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,475 per month and a standard deviation of $290 per month. The distribution of the monthly costs does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 45 one-bedroom apartments and finding the mean to be at least $2,365 per month? (Round z value to 2 decimal places and final answer to 4 decimal places.)