# Question: Making use of the results of Exercise 6 29 on page

Making use of the results of Exercise 6.29 on page 184, show that the mean of the posterior distribution of Θ given on page 304 can be written as

That is, as a weighted mean of x/n and θ0, where θ0 and σ20 are the mean and the variance of the prior beta distribution of Θ and

That is, as a weighted mean of x/n and θ0, where θ0 and σ20 are the mean and the variance of the prior beta distribution of Θ and

## Answer to relevant Questions

In Example 10.19 the prior distribution of the parameter of the binomial distribution was a beta distribution with α = β = 40. Use Theorem 6.5 on page 182 to find the mean and the variance of this prior distribution and ...Certain radial tires had useful lives of 35,200, 41,000, 44,700, 38,600, and 41,500 miles. Assuming that these data can be looked upon as a random sample from an exponential population, use the estimator obtained in Exercise ...Every time Mr. Jones goes to the race track he bets on three races. In a random sample of 20 of his visits to the race track, he lost all his bets 11 times, won once 7 times, and won twice on 2 occasions. If θ is the ...How large a random sample is required from a population whose standard deviation is 4.2 so that the sample estimate of the mean will have an error of at most 0.5 with a probability of 0.99? A medical research worker intends to use the mean of a random sample of size n = 120 to estimate the mean blood pressure of women in their fifties. If, based on experience, he knows that σ = 10.5 mm of mercury, what can he ...Post your question