Suppose we have a population of cars whose average weight is 3000 pounds and whose standard deviation is 400 pounds. Suppose a random sample of 50 cars is to be taken. Find the probability that the...

Suppose we have a population of cars whose average weight is 3000 pounds and whose standard deviation is 400 pounds.  Suppose a random sample of 50 cars is to be taken.  Find the probability that the sample average will exceed 3070 pounds.

Round to three decimal places, for example 0.286