In: Statistics and Probability
Ali has 100 jobs that he must do in sequence, with the times required to do each of these jobs being independent random variables with mean 1.3 minutes and standard deviation 3.0 minutes. Aysun has 200 jobs that she must do in sequence, with the times required to do each of these jobs being independent random variables with mean 1.0 minutes and standard deviation 2.3 minutes. Note that the time required for Ali to do any of his jobs is independent from the time required for Aysun to do any of her jobs. Find the probability that Ali finishes before Aysun. Note that you just need to get an approximate probability using Central Limit Theorem.