Suppose you randomly select an individual from a population

Suppose you randomly select an individual from a population that is normally distributed and they are above average. When you find out the probability of randomly selecting that individual is very very small, what are some possible explanations? In other words what does this very very small probability suggest?

Solution

If you select samples and they are above average, and the probability of randomly selecting that individual is very very small, then it may suggest that the mean is actually greater than what you think, or the standard deviation is greater than what you think.

Anyway, th very very small probability means that this could not have happened by chance; something is wrong with your assumption regarding the population, whether it be the distirbution, the mean, or standard deviation.