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Homework Statement
You are a manager of ticket agency that sells concert tickets. You assume that people will call 3 times in an attempt to buy the ticket and give up. You want to make sure that you are able to serve at least 95% of the people who wants tickets. Let p be the probability that a caller gets through to your ticket agency. What is the minimum value of p necessary to meet your goal?
Homework Equations
Theorem of Probability Mass Function
The Attempt at a Solution
So there are three independent outcome. Let X be the random variable for the corresponding three events, and let S denote the successful purchase of the ticket and F the failure case.
{X = 0} = {S} / Successful in first call
{X = 1} = {FS} / Successful in second call
{X = 2} = {FFS} / Successful in third call
{X = 3} = {FFF} / No Ticket purchase
I'm completely stuck here. Frankly, I don't even know if I'm approaching this problem correctly. Any help will be appriciated.