The length of country and western songs is normally distributed and has a mean of 190 seconds and a standard deviation of 30 seconds.

Find the probability that a random selection of 16 songs will have mean length of 181.9 seconds or less.

Note: Even though the sample size is less than 30 (n < 30) we can still use the sampling distribution of sample means because the population data is normally distributed.

Do not round any numbers while calculating.

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