<PRE><B>Question 652259</B>
The part you are missing is all of the non-winning tickets. It should look like this.

                    X                   (px)

auto             19990              1/5000    .0002

entertainment
center           2990               2/5000    .0004

DVD recorder     390                5/5000    .001

Gift Cert        10                 50/5000    .01

Non-winning
ticket           -10                4943/5000  .9886

Remember the ticket cost $10 so on a non-winning ticket you are minus 10. There are 57 prizes so 4943 tickets sold will not win anything (5000-57 = 4943).

Finding the mean of X will give you the average winning of one ticket.


19990(.0002) + 2990(.0004) + 390(.001) + 10(.01) + (-10)(.9886)
3.998+1.196+.39+.1+(-9.886)= -4.202
So the average expected winning on one ticket is -$4.20
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