The population average annual salary for high school teachers in Alhambra is $61,244. A random sample of 31 teachers from Alhambra is selected from this population. What is the probability that the...

The population average annual salary for high school teachers in Alhambra is $61,244. A random sample of 31 teachers from Alhambra is selected from this population. What is the probability that the average annual salary of the sample is less than $62500.  Assume that the population standard deviation is $4050. Leave your answer in 3 decimal places.