Given the Distribution Table that shows the Probability Distribution for the number of classes students take, you need to use the following formula for finding the Expected Value:
[tex]E(x)=\sum_^x\cdot p(x)[/tex]
Where "x" is an outcome and this is the probability of the outcome:
[tex]p(x)[/tex]
Therefore, using the values provided in the table, you can set up:
[tex]E(x)=(0)(0)+(1)(0.30)+(2)(0.21)+(3)(0.10)+(4)(0.11)+(5)(0.06)+(6)(0.04)+(7)(0.15)+(8)(0.03)[/tex]
By solving the Multiplications and the Additions, you get:
[tex]E(x)=3.29[/tex]
Hence, the answer is:
[tex]E(x)=3.29[/tex]
