Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and the standard deviation is 61 days. a) Find the distribution by filling in the blanks: X~N( ' ) b) Find the probability of batteries that have lifetimes longer than 561 days? Round to 4 decimals. c) Find the probability of batteries that have lifetimes at most 497 days? Round to 4 decimals. d) Find the 75th percentile. Round to 1 decimal.