Someone comes in to my house. Let R be the event that this person is a burglar. Let D be the event that my dog barks. My dog barks at burglars at with probability 9/10, and my dog barks at non-burglars with probability 1/2. Assume that P(R) = 1/5. If my dog barks at the person who comes in, what is the probability that the person is a burglar?

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.