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.