Suppose that the weight of male babies less than 2 months old is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 babies is selected. What is the probability that the average weight of the sample is less than 11.23 pounds?

Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not record the answer as a percentage.