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The time between consecutive eruptions of Mont Etna in Sicily is exponentially distributed denoted by random variable X, with the mean of ????[X] = 1/???? years. The exponential pdf fX(x) = ????e−????x for x ≥ 0, and zero elsewhere. Find the probability of the next eruption occurs before next 2 years, P(x < 2) =?

1 Answer

4 votes

Answer:

0.9975

Explanation:

check the attached files below

The time between consecutive eruptions of Mont Etna in Sicily is exponentially distributed-example-1
User Odeyinka Olubunmi
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