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It is known that the probability of being able to log on to a computer from a remote terminal at any given time is Let X denote the number of attempts that must be made to gain access to the computer.
(a) Find the first four terms of the density table.
(b) Find a closed form expression for f(x).
(c) Find P[X = 6].
(d) Find a closed form expression for F(x).
(e) Use F to find the probability that at most four attempts must be made to gain access to the computer.
(f) Use F to find the probability that at least five attempts must be made to gain access to the computer.
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