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Suppose we are testing 2 different brands of light bulbs whose lifetimes are exponential random variables with mean 1/3, and 1/4 years, respectively. Assuming that

Suppose we are testing 2 different brands of light bulbs whose lifetimes are exponential random variables with mean 1/3, and 1/4 years, respectively. Assuming

that all of the bulbs are independent, what is the expected time before one of the bulbs fails. (Hints: You can get the CDF of the time length before one of the two bulbs fails and then take the differentiation to get the pdf.)

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