Suppose that the heights of the individuals in a certain population have a normal distribution for which the value of the mean θ is unknown and the standard deviation is 2 inches. suppose also that the prior distribution of θ is a normal distribution for which the mean is 68 inches and the standard deviation is 1 inch. suppose finally that 10 people are selected at random from the population, and their average height is found to be 69.5 inches. a. if the squared error loss function is used, what is the bayes estimate of θ? b. if the absolute error loss function is used, what is the bayes estimate of θ? (see exercise 7 of sec. 7.3).