A certain type of automobile battery is known to last an average of 1170 days with a standard deviation of 120 days. If 900 of these batteries are selected, find the following probabilities for the average length of life of the selected batteries. (Round your answers to four decimal places.) The average is between 1158 and 1170. (b) The average is greater than 1182. (c) The average is less than 950. You may need to use the appropriate appendix table or technology to answer this