Start with the prior: beta distribution corresponding top=.275 (for a Bernoulli process) for each of these. (use the classical mean and variance for...

Start with the prior: beta distribution corresponding to p = .275 (for a Bernoulli process) for each of these. (use the classical mean and variance for this distri- bution).

A)You observe 38 successes out of 90 trials. Find the posterior dis- tribution for p, graph the density function and provide a 90 percent (or close) credible interval for p.

B)You observe 22 successes out of 51 trials. Find the posterior dis- tribution for p, graph the density function and provide a 90 percent (or close) credible interval for p.