Let$\displaystyle X_1,....,X_n$be a random sample of size n from a geometric distribution $\displaystyle Geo(p)$. Derive a conservative two-sided $\displaystyle 100(1-\alpha)$% confidence interval for $\displaystyle p$ . Use equal-tails and give explicit expressions for $\displaystyle p_L $ and a$\displaystyle p_U$, where $\displaystyle p_L$ and $\displaystyle p_U$ are lower and upper confidence limites, respectively.

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