<s>[INST] This problem is related to an exercise of the book Probability and Statistics for Dummies.
The problem is to find the probability of the mean of a set of sample means being equal to the population mean. The problem states that, assuming all the samples are taken independently and at random, and assuming the normal distribution of the population, the mean of the sampling distribution of the sample means is the same as the population mean. So, the problem is asking us to find P(sample mean = population mean) =?[/INST]