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Task 2 Assume that the time, in minutes, it takes fora patient to fall asleep after receiving sleeping pills forinsomnia is normally distributed with expectation value p and standard deviation 0. Assume that p. = 35 and o = 10. a} Find the probability that the patient falls asleep within 20 minutes after taking the medicine. b} Given that the patient has not fallen asleep within the first 20 minutes after taking the sleeping pill, find the probability that the patient has not fallen asleep within the first 40 minutes