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An internet service provider has two connection lines for its customers. Eighty percent of customers are connected through Line I, and twenty percent are connected through Line II. Line I has a Gamma connection time with parameters α = 3 and λ = 2 min−1. Line II has a Uniform (a, b) connection time with parameters a = 20 sec and b = 50 sec. Compute the probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.