# How to get prior distribution based on confidence interval [closed]

If we have mean value and 95% confidence interval of a parameter. For example, sensitivity = 0.5, CI = [0.2,0.78](as you can see, it is asymmetric)

How to decide the prior distribution? How to calculate the parameter of chosen prior distribution?

• In R: code qbeta(c(.025,.5,.975),4.9,5.2) returns $(0.2012826, 0.4841307, 0.7745677).$ – BruceET May 30 at 16:32
• @BruceET could you explain what these arguments & output mean in this context? – ila May 30 at 16:34
• Distribution $\mathsf{Beta}(4,9,5.2)$ has about 95% of its probability In inteval $(.20, .77)$ and median about $\eta = .48.$ – BruceET May 30 at 16:38
• Confidence interval procedures do not use prior distributions: please, then, explain what you are trying to ask. – whuber Jun 2 at 12:52