can you break this problem down step by step so i can unders

can you break this problem down step by step so i can understand it where your answer is coming from:

Joe computed a 95% confidence interval for µ from a specific random sample. His confidence interval was 10.1<µ<12.2. He claims that the probability that µ is in this interval 0.95. What is wrong with his claim? Explain

Solution

µ is not a random quantity, so there is no \"probability\" that it is in this interval. Either µ is in this interval or its not, without any stochastic behaviour. Confidence arises from the fact that the method we used to construct this CI produces a CI that includes µ in 95% of random samples.