The average teacher's salary in a certain state is $37,764. Assume a normal distribution with =σ$5100. Assume that the sample is taken from a large population and the correction factor can be ignored....

The average teacher's salary in a certain state is $37,764. Assume a normal distribution with =σ$5100. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answers at least four decimal places. Part 1 of 2 (a) What is the probability that a randomly selected teacher's salary is greater than $46,800? =P>X46,800