I'm looking to solve this problem using Markov model.
Assume that the curser in a word processing program, starting from the beginning of a line, can move x characters forward at a time step and y characters backward at a time step, with x<y. Assume that the probability of moving forward x characters at a time step is 0.7 and the probability of moving backward y characters at a time step is 0.3. For simplicity let's have each time step as 1 second. What is the probability of reaching (or passing) 5x characters from the beginning of the line before 15 seconds elapsed?
Thanks!
Assume that the curser in a word processing program, starting from the beginning of a line, can move x characters forward at a time step and y characters backward at a time step, with x<y. Assume that the probability of moving forward x characters at a time step is 0.7 and the probability of moving backward y characters at a time step is 0.3. For simplicity let's have each time step as 1 second. What is the probability of reaching (or passing) 5x characters from the beginning of the line before 15 seconds elapsed?
Thanks!