12.19 Running a Mile. A study of 12,000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute.12 Choose a student at random from this group and call his time for the mile Y. a. Is Y a finite or continuous random variable? Explain your answer. b. Say in words what the meaning of P(Y2 8) is. What is this probability? c. Write the event "the student could run a mile in less than six minutes" in terms of values of the random variable Y. What is the probability of this event?

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