Estimating Chip Failure Time: Geometric MLE

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EvLer
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Homework Statement


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.

The Attempt at a Solution


first i want to confirm this: is this geometric distribution?
 
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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.