Question: Please help with the attached question: A random variable Y modeling claim size has density function of the form fy(y) = 209's?! for y >

Please help with the attached question:

A random variable Y modeling claim size has density function of the form fy(y) = 209's\"?! for y > 0, where c is an unknown parameter. Prior information on 0 suggests the gamma distribution 1"(o: = 15, A = 24) is suitable. A sample of 40 values 40 of Y yields 2 y? = 32.5. Determine the Bayesian estimator of c using a 1 quadratic loss function

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