Question 1186867
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Suppose that you are offered the following "deal." You roll a six sided die. 
If you roll a 6, you win $12. If you roll a 4 or 5, you win $3. Otherwise, you pay $2.
a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. 
Round to 4 decimal places where appropriate.
Probability Distribution Table
(X) (P(X))

b. Find the expected profit. $
(Round to the nearest cent)
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With the probability  {{{1/6}}}, the die shows any of 6 numbers 1, 2, 3, 4, 5, 6  on the upper face.


Therefore, the expected profit is


    {{{12*(1/6) + 3*(1/6) + 3*(1/6) - 2*(3/6)}}} = {{{2 + 1/2 + 1/2 - 1}}} = 2 dollars.


Playing many times this game, you will have a profit of 2 dollars per game, in average.
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Solved.