A student dormitory with 200 residents has a cafe. On the average, 120 residents have their breakfast in this cafe daily. Assume that all students decide whether or not to have breakfast in this cafe independently from others with equal probabilities. Estimate the probability that on some particular morning 130 or more student shows up for breakfast. Suppose you have more statistics and know that the standards deviation from the mean of 120 is 20 students. Is this consistent with the assumption made earlier> How does this change your estimate (if at all)?