2/3 10. The amount of time Y (in minutes) that a commuter train is late is a conu.wu- random variable with probability density 25 – f (y)={500 - y²) if -5< y<5 elsewhere [Note: A negative value of Y means that the train is early.] a) Find the value of c for this probability distribution. b) What is the probability that the train is no more than 3 minutes late?

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