A box contains five keys, only one of which will open a lock. Keys are randomly selected

Chapter 4, Problem 4.2

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A box contains five keys, only one of which will open a lock. Keys are randomly selected and tried, one at a time, until the lock is opened (keys that do not work are discarded before another is tried). Let Y be the number of the trial on which the lock is opened. a Find the probability function for Y . b Give the corresponding distribution function. c What is P(Y < 3)? P(Y 3)? P(Y = 3)? d If Y is a continuous random variable, we argued that, for all < a < , P(Y = a) = 0. Do any of your answers in part (c) contradict this claim? Why?

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