The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,350 per month and a standard deviation of $260 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 65 one-bedroom apartments and finding the mean to be at least $2,260 per month? (Round z value to 2 decimal places and final answer to 4 decimal places.)