In post-apocalyptic neverland, clean water is sold in "2-liter" bottles off the back of a truck that arrives every day. the arrival time is normally distributed with mean 2: 54 pm and standard deviation 24 minutes. the time it takes for the water to sell out is also normally distributed with mean 33 minutes and standard deviation 7 minutes. the price of a "2-liter" bottle fluctuates from day to day according to a normal distribution with mean 128 rubles and standard deviation 4 rubles. the amount of water in a "2-liter" bottle varies from bottle to bottle according to a normal distribution with mean 63.5 ounces and standard deviation 1 ounce. assume that all days, all times, and all bottles are independent.

on april 3, 2020, you buy four "2-liter" bottles of clean water. what is the probability that it costs you more than 500 rubles? give your answer to 4 decimal places.