1. A population of values has a normal distribution with =7.1=7.1 and =33.1=33.1. You intend to draw a random sample of size n=155n=155.

Find the probability that a single randomly selected value is less than 7.1. P(X < 7.1) =

Find the probability that a sample of size n=155n=155 is randomly selected with a mean less than 7.1. P(xx < 7.1) =Enter your answers as numbers accurate to 4 decimal places.

2. CNNBC recently reported that the mean annual cost of auto insurance is 991 dollars. Assume the standard deviation is 276 dollars. You take a simple random sample of 63 auto insurance policies. Find the probability that a single randomly selected value is less than 984 dollars. P(X < 984) = Find the probability that a sample of size n=63n=63 is randomly selected with a mean less than 984 dollars. P(xx < 984) = Enter your answers as numbers accurate to 4 decimal places.