Score: 0 of 1 pt 12 of 12 (12 co X *5.4.38 A manufacturer claims that the life span of its tires is 47,000 miles. You work for a consumer protection agency an tires at random and test them. The mean life span is 46,858 miles. Assume o = 700. Complete parts (a) through (c (a) Assuming the manufacturer's claim is correct, what is the probability that the mean of the sample is 46,858 mile (Round to four decimal places as needed.)