Consider a Bernoulli process, with a “1" considered a success and a “0" considered a failure. Determine whether the process starts fresh right after each of the following random times:

Question

1. The time of the k th failure

2. The first time that a failure follows a success

3. The first time at which we have a failure that will be followed by a success

Answer 1

1. Yes
2. Yes
3. No