The number of gallons of paint that Home Depot sells in a given
day is normally distributed with a mean of 175 gallons and a
standard deviation of 40 gallons (I realize that the distribution
is probably different for weekends compared to weekdays, but just
assume everyday has the distribution). In a sample of 126 days,
what is the probability that the average number of gallons sold
will be 170 or less? (please round your answer to 4 decimal
places)





