1) A person randomly chooses a battery from a store which has 70 batteries of type A and 300 batteries of type B. 1 point Battery life of type A and type B batteries are exponentially distributed with average life of 7.0 years and 15.0 years, respectively. If the chosen battery lasts for 5 years, what is the probability that the battery is of type A? Enter your answer correct to two decimals accuracy. O 1 8000 1+e 21000 1 8000 1 + 2e 21000 1 8000 1 + 2e 21000 1 26500 1 + e 21000