The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours? (Round the answer to 3 decimal places.)b) What are the quartiles (the 25% and 75% values) of battery life25% value = minutes (Round the answer to the nearest integer.)75% value = minutes (Round the answer to the nearest integer.)c) What value of life in minutes is exceeded with 95% probability?(Round the answer to the nearest integer.)