A population of values has a normal distribution with $\displaystyle \mu={204.3}$ and $\displaystyle \sigma={31.3}$. You intend to draw a random sample of size $\displaystyle {n}={161}$.

Find the probability that a sample of size $\displaystyle {n}={161}$ is randomly selected with a mean greater than 205.3.
P(M > 205.3) =

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.