A. For a standard normal distribution, find:

P(z > -1.97)

B. CNNBC recently reported that the mean annual cost of auto insurance is 1038 dollars. Assume the standard deviation is 203 dollars. You take a simple random sample of 62 auto insurance policies.

Find the probability that a single randomly selected value is less than 969 dollars.

P(X < 969) =

Find the probability that a sample of sizen= 62

is randomly selected with a mean less than 969 dollars.

P(M < 969) =

Enter your answers as numbers accurate to 4 decimal places.

C. The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 43 and a standard deviation of 6. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 37 and 43?