Assume that the probability of being able to log onto computer from a remote ter

Question

Assume that the probability of being able to log onto computer from a remote terminal at any given time is 0.8. Let X denote the number of attempts required to log on to computer.

a) Name the prbability distribution that X would follow?

b) Find a closed for expression for f(x)

c) Find the first four terms of the probability mass table

d) Find a closed form expression for F(x)

e) Use f(x) to find the probability that most 4 attemps must be made to log onto the computer.

Thank you for helping me out

Explanation / Answer

a. geometric. b. p(x) = p (1-p)^x for all geometrics. .8*(1-.8)^x where x=X-1 c. .8, .16, .032, 0.0064 d. what is F(x) e. at most 4 attempts? well just add the c parts together. .8 + .16 + .032 + 0.0064 = 0.9984

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