Mathematics, 02.04.2020 01:22 fansofboys

Alice and Betty enter a beauty parlor simultaneously, Alice to get a manicure and Betty to get a haircut. Suppose the time for a manicure (haircut) is exponentially distributed with mean 20 (30) minutes.

(a) What is the probability Alice gets done first?

(b) What is the expected amount of time until Alice and Betty are both done?

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