The Central Limit Theorem: Example 1

We give an example of applying the Central Limit Theorem. This is the first of three examples.
#mikedabkowski, #mikethemathematician, #profdabkowski, #probability

[@armanavagyan1876]

.05 is equal to what? Is another way to say0.05? Thanks Prof)

[@mikethemathematician]

.05=1/20 is the standard deviation of each of the random variables W_i in this problem. It will be measures in pounds (lbs).

[@armanavagyan1876]

@@mikethemathematician it's clear now please keep up the great work)

[@AJV1510]

Why did you subtract 100 from 100.75?
Timestamp 3:45

[@mikethemathematician]

100 is the number of observations (100) times the mean (1). This corresponds to the n\mu in the Central Limit Theorem. I need this term on both sides of the inequality to make our probability look like the Central Limit Theorem.