June is National Dairy Month, and in honor of that, let’s ex…

June is National Dairy Month, and in honor of that, let’s examine the distribution of a cow’s milk production.  Milk production follows a normal distribution with a mean of 6 gallons and a standard deviation of 1.3 gallons per day.  To determine the probability that a cow produces less than 7.5 gallons a day, the corresponding z-score rounded to 2 decimal places would be which would lead to a less than probability rounded to 4 decimal places of .