PROBABILITY DENSITY AND EXPECTED VALUES

1. Probability density function f(X _k )

   Where f(X _k ) = is the probability of the r.v.X _k

2. Expected value of sample mean (first moment about origin):

   

   Note  

   Summation of number of cells , k.

3. Sample variance (second moment about mean):

   

   Special note:  

   Statistics is concerned mainly with the mean and variance.