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## suppose that during rainy season, on a tropical island, the length of shower has an exponential distribution with paramrter λ=1/3, the time being measured in minute. what is the probability that a shower will last more than three mins? what is the probability that the shower time will be between 2 and 5 minutes? what is the conditional probability that the shower will take at least 7 minutes given that it is lasted after 6 hours?