The mean annual income for people in a certain city (in thousands of dollars) is $41,000 with a standard deviation of $34,000. A pollster draws a sample of 58 people to interview. Find the probability that the sample mean income is between $36,000 and $41,000.

Do not round any numbers while calculating.

Answer to the nearest ten-thousandth (4 decimal places).

If the answer cannot be determined, type 123456.