# Question

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 describe its shape.

## Answer to relevant Questions

Show that the mean of the posterior distribution of M given in Theorem 10.6 can be written as That is, as a weighted mean of x and µ0, where The size of an animal population is sometimes estimated by the capture-recapture method. In this method, n1 of the animals are captured in the area under consideration, tagged, and released. Later, n2 of the animals are ...On 20 very cold days, a farmer got her tractor started on the first, third, fifth, first, second, first, third, seventh, second, fourth, fourth, eighth, first, third, sixth, fifth, second, first, sixth, and second try. ...If x is a value of a random variable having an exponential distribution, find k so that the interval from 0 to kx is a (1 – α) 100% confidence interval for the parameter θ. With reference to Exercise 11.22, suppose that the research worker takes his sample and gets = 141.8 mm of mercury. Construct a 98% confidence interval for the mean blood pressure of women in their fifties.Post your question

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