Snapchat has more than 200 million daily users sending 3 billion snaps a day. Suppose that the time x between snaps you recieved is governed by exponential distribution, = 8 minutes.

If you sample 50 times between snaps and the times follow an exponential distribution with=8minutes, use the properties of the exponential distribution to determine the expected value and variance of the sample mean. How does this relate to the Central Limit Theorem?