MLE and related

[EvLer]

1. The problem statement, all variables and given/known data
time till first failure of a chip is to be estimated. 3 such chips were tested, they worked for 30, 34, 33 days without failure. Find MLE of the parameter.

3. The attempt at a solution
first i want to confirm this: is this geometric distribution?

[Kreizhn]

I'm not too sure. It looks like you could approximate it and find the maximum likelyhood using the exponential distribution since you could very well be dealing with poisson-distributed events.