A certain brand of automobile tire has a mean life span of 38000 miles and a standard dewation of 2.300 miles (Assume the life spans of the tires have a bell-shaped distribution) (a) The life spans of three randomly selected tires are 35000 miles, 37,000 miles. and 31,000 miles. Find the ziscore that corresponds to each lite span. For the life span of 35,000 miles, z-score is 1,30 (Round to the nearest hundredth as needed.) For the life span 0f37,000 miles, zrscore is 7 0.43 (Round to the nearest hundredth as needed) For the life span 0f31,000 miles, zrscore is 304 (Round to the nearest hundredth as needed.) According to the Z-scores, would the Ile spans of any otthese tires be considered unusual? V Yes No (b) The life spans of three randomly selected tires are 35300 miles, 40,300 miles. and 38,000 miles. USing the empirical rule: find the percentile that corresponds to each life span. The life span 35700 miles corresponds to 3 percentile of 5 The life span 40300 miles corresponds to a percentile of 98 The life span 38000 miles corresponds to a percentile of 50 (Round to the nearestwhole number as needed)