Final answer:
To find the probability that x is more than 1 standard deviation from its mean value, we can use the properties of the normal distribution.
Step-by-step explanation:
The probability question is asking for the probability that x is more than 1 standard deviation away from the mean value of x.
To find this probability, we need to know the mean and standard deviation of x.
Given that x has a normal distribution with a mean of 100 and a standard deviation of 15, we can use the properties of the normal distribution to calculate the probability.
Using the Empirical Rule, we know that approximately 68% of the data falls within 1 standard deviation of the mean. Therefore, the probability that x is more than 1 standard deviation away from its mean is approximately 1 - 0.68 = 0.32.