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,).