Suppose that In Example 18.6 the electrical firm does not have enough prior information regarding the population mean length of life to be able to

Question

46 users unlocked this solution today!

Suppose that In Example 18.6 the electrical firm does not have enough prior information regarding the population mean length of life to be able to assume a normal distribution for p. The firm believes, however, that p. is surely between 770 and 830 hours and it is fell that a more realistic Bayesian approach would be to assume the prior distribution π (μ) = 1/60, 770 < p < 830. If a random sample: of 25 bulbs gives an average life of 780 hours, follow the steps of the proof for Example18.4 to find the posterior distribution π (μ׀x₁, x₂ ,...,x₂₅,).