Read and answer the following question. If a calculation is not possible, type NA.

Round answers to 2 decimal places.

CNNBC recently reported that the mean annual cost of auto insurance is $989. Assume the standard deviation is $247.

You take a simple random sample of 55 auto insurance policies.

Find the probability that a single randomly selected value is less than $996.
P(x < 996) =

Find the probability that a sample of size $\displaystyle {n}={55}$ is randomly selected with a mean less than $996.
P($\displaystyle \overline{{x}}$  < 996) =