A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 minutes after the hour. Let = the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is a.Find the value of k b.What is the probability that the lecture ends within 1 minute of the end of the hour? c. What is the probability that the lecture continues beyond the hour for between 60 and 90 seconds? What is the probability that the lecture continues for at least 90 seconds beyond the end of the end of the hour?
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