(Answered) Let 8 denote the average number of defects per 00 feet of

Statistics

Let 8 denote the average number of defects per ] 00 feet of a certain type of magnetic tape. Suppose that the value of 0 is unknown, and that the prior distribution of 8 is a gamma distribution with parameters a = 2 and fJ = 10. When a 1200-foot roll of this tape is inspected, exactly four defects are found. Determine the posterior distribution of 0.

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