A population of values has a normal distribution with $\displaystyle \mu={22.9}$ and $\displaystyle \sigma={33.8}$. You intend to draw a random sample of size $\displaystyle {n}={148}$.

Find the probability that a single randomly selected value is less than 16.2.
P(X < 16.2) =

Find the probability that a sample of size $\displaystyle {n}={148}$ is randomly selected with a mean less than 16.2.
P(M < 16.2) =

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.