The number of gallons of paint that Home Depot sells in a given day is normally distributed with a mean of $130$ gallons and a standard deviation of $30$ gallons $($I realize that the distribution is probably different for weekends compared to weekdays, but just assume everyday has the distribution$).$ What is the probability that on a randomly chosen day, Home Depot sells more than $175$ gallons of paint? $($please round your answer to $4$ decimal places$)$