A population of values has a normal distribution with $\displaystyle \mu={100.3}$ and $\displaystyle \sigma={10.9}$. You intend to draw a random sample of size $\displaystyle {n}={12}$.

Find the probability that a single randomly selected value is less than 90.5.
P(X < 90.5) =

Find the probability that a sample of size $\displaystyle {n}={12}$ is randomly selected with a mean less than 90.5.
P(M < 90.5) =