A tire manufacturer claims that its tires will last an average of 40,0

A tire manufacturer claims that its tires will last an average of 40,000 miles with a standard deviation of 3,000 miles. A sample of 49 tires was taken, and the average lifetime in miles was recorded.a. What is the probability that the average lifetime of the tires sampled was more than 39,500?b. What is the probability that the average lifetime of the tires sampled was equal to 39,500?c. What is the probability that the average lifetime of the tires sampled was less than 39,500?