Scores on a particular test, taken by a large group of students, follow a normal distribution with a variance of 3600. A random sample of 36 scores was taken to estimate the population's mean score. Let the random variable x denote the sample mean. What is the probability that the interval (x - 15) to (x + 15) contains the true population mean? Click the icon to view the standard normal table of the cumulative distribution function. The probability that the interval (x - 15) to (x + 15) contains the true population mean is (Type an integer or decimal rounded to four decimal places as needed.)Scores on a particular test, taken by a large group of students, follow a normal distribution with a variance of 3600. A random sample of 36 scores was taken to estimate the population's mean score. Let the random variable x denote the sample mean. What is the probability that the interval (x - 15) to (x + 15) contains the true population mean? Click the icon to view the standard normal table of the cumulative distribution function. The probability that the interval (x - 15) to (x + 15) contains the true population mean is (Type an integer or decimal rounded to four decimal places as needed.)