Question: A lightbulb is installed. With probability1/3, it burns out immediately when it is first installed. With probability2/3, it burns out after an amount of time

A lightbulb is installed. With probability1/3, it burns out immediately when it is first installed. With probability2/3, it burns out after an amount of time that is uniformly distributed on[0,3]. The expected value of the time until the lightbulb burns out is ???

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