Question: Exponential distribution is required in this question. 6 points) Consider two independent RVs X1 ~ Exp(1) and X2 ~ Exp(12) with 1 # 12. Note

Exponential distribution is required in this question.

6 points) Consider two independent RVs X1 ~ Exp(1) and X2 ~ Exp(12) with 1 # 12. Note that the RVs are not identically distributed, since they have different parameters. Show that their minimum X() = min(X1, X2) also follows an Exponential distribution, and find its parameter

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