There were 100 random samples of the same size taken from a population which is known to have a normal distribution with some mean and a known standard deviation. A 95% confidence interval for the population mean was constructed for each of the 100 random samples. If all the conditions are satisfied, what percentage of these confidence intervals would capture the true population mean? Choose the correct answer below.
A. 100% of them
B. At least 50% but no more than 75% of them
C. Approximately 95% of them
D. This cannot be determined without knowing the population mean.