Part a) What is the probability that a Duxcell battery will last longer than an Infinitycell battery? Give your answer to two decimal places.
Part b) What is the probability that an Infinitycell battery will last more than twice as long as a Duxcell battery? Give your answer to two decimal places.
Part c) You are going to cut down a large tree and do not want to break off from the job to recharge your chainsaw battery. You buy two Duxcell batteries, and plan to use one until it runs out of power, after which you immediately replace it with the second battery. How long (in minutes) can the job last so that with probability 0.75 you can complete the job using the two Duxcell batteries in sequence?
Provide your answer to 1 decimal place.
You can earn partial credit on this problem.