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The time to wait for a Covid-19 test (in minutes) follows an exponential distribution with the following probability density function 1 f(a:) = Toe\"10, :1: > 0. a) Find the probability that a randomly selected person getting a Covid-19 test will wait more than 12 minutes. b) In a random sample of 50 people, what is the probability the average wait time is more than 12 minutes? C) In a random sample of 5 people waiting to get the test, what is the probability at least 4 of these people will wait longer than 12 minutes