Difficult# Central Limit Theorem: 2500 Individuals

STATS-ESBZSE

Suppose $2500$ individuals are to be selected at random and the amount of time (in minutes) their web browser is active on a given day is recorded. Let $\bar{X}$ denote the average time these 2500 individuals spend on the web.

Suppose it is also known that the mean of the time spent in a day on web-browsing by all internet-connected individuals is 250 minutes with a standard deviation of 150 minutes. Use the Standard Normal Probability Table

to find the probability that the average time spent web-browsing by the 2500 individuals is less than 248.