A certain brand of automobile tire has a mean life span of 36 comma 000 miles and a standard deviation of 2 comma 450miles.(Assume the life spans of the tires have a bell-shaped distribution.)(a) The life spans of three randomly selected tires are 34,000miles, 38,000 miles, and 31,000 miles. Find the z-score that corresponds to each life span.*For the life span of 34,000 miles, z-score is___________? (Round to the nearest hundredth as needed.)*For the life span of 38,000 miles, z-score is_________? (Round to the nearest hundredth as needed.)*For the life span of 31,000 miles, z-score is_______? (Round to the nearest hundredth as needed.)According to the z-scores, would the life spans of any of these tires be considered unusual? Yes or No(b) The life spans of three randomly selected tires are 33,550miles, 38,450 miles, and 36,000 miles. Using the empirical rule, find the percentile that corresponds to each life span.The life span 33,550 miles corresponds to the _________?th percentile.The life span 38,450 miles corresponds to the__________ ?th percentile.The life span 36,000 miles corresponds to the________--- ?th percentile.
