Out of nowhere, Matt's furnace broke and the upcoming -30C weather requires him to purchase a new furnace as soon as possible. The distribution of furnace costs does not follow a normal distribution. The population mean cost to purchase a new furnace is $4800, with a population standard deviation of $1050. Matt is hopeful he can spend less than $4000. What is the probability of Matt selecting a random sample of 9 new furnaces from various companies, and finding the mean cost to be less than $4000? State your final answer as a rate to four decimal places