Suppose X1,···, Xn ∼ Exp(λ) are independent. What is the distribution of X1/S where S =...

Suppose X₁,···, X_n ∼ Exp(λ) are independent. What is the distribution of X₁/S where S = X₁+X₂+···+X_n?

Please show me how to do this without using the property of chi-squared dist.

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orchestra answered 2 years ago

Suppose X1,···, Xn ∼ Exp(λ) are independent. What is the distribution of X1/S where S =...

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Suppose X1,···, Xn ∼ Exp(λ) are independent. What is the distribution of X1/S where S =...

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