Let X 1 ,X 2 , , X n be a random sample of size n from a beta distribution with parameters and 5 Show that the product X 1 X 2 X n is a sufficient statistic for

Question: Let X 1 ,X 2 , . . . , X n be a random sample of size n from a beta distribution with parameters

Let X₁,X₂, . . . , X_n be a random sample of size n from a beta distribution with parameters α = θ and β = 5. Show that the product X₁X₂ · · ·X_n is a sufficient statistic for θ.

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