Suppose a tire manufacturer states the average lifetime of…

  Suppose a tire manufacturer states the average lifetime of their tires is 65,000 miles, with a standard deviation of 3,000 miles. Consider a random sample of 45 tires from this manufacturer. (Round to 3 decimal places.)   a. Find the standard deviation of the sample mean.  b. Find the probability that the sample mean is greater than 66,000 miles.