Assume 50 random samples of the same sample size are taken f

Assume 50 random samples of the same sample size are taken from a population, and a 90% confidence interval is constructed from each sample. How many of the intervals would you expect to contain the true population mean? Show work.This question has been answered several times on this site. Please explain the answer. There is no clear answer on the already posted answers

Solution

We expect 50*0.9 = 45 intervals to contain the true mean, because 90% confidence interval able to capture the true mean in 90% of the random samples.