An internet service provider has two connection lines for its customers. Eighty percent of all 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 = 30 sec and b = 50 sec. Compute the probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.