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In: Statistics and Probability

2. Let X ~ exponential(lambda). Find the 2.5th percentile and the 97.5th percentile of X, that...

2. Let X ~ exponential(lambda). Find the 2.5th percentile and the 97.5th percentile of X, that is, find x*subscript*.025 and x*subscript*.975

Expert Solution

The pdf of X is

The cumulative distribution of X will be given by

Now, to find 2.5th percentile x_0.025 such that

Now, to find 97.5th percentile x_0.975 such that

orchestra answered 2 years ago

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