Suppose that 20,000 children in Pangaea were randomly surveyed as to the number of different vegetables they like to eat. The results are compiled above (but aren’t complete) and are used as theoretical probabilities. Let X = the number of different vegetables Pangaean children like to eat. Complete the table above and find:

 a.  expected value E(X). 

 b.  population mean μ

 c.  population standard deviation σ