Expected Value Answers

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If a raffle has a winning prize of $100 and each ticket costs $5 with a total of 500 tickets sold, which equation would calculate the expected value?

A
100 (StartFraction 1 Over 500 EndFraction) + (negative 5) (StartFraction 499 Over 500 EndFraction) = E (X)
Option A
B
95 (StartFraction 1 Over 500 EndFraction) + (negative 5) (StartFraction 499 Over 500 EndFraction) = E (X)
Option B
C
(100 minus 5) (StartFraction 1 Over 500 EndFraction) = E (X)
Option C
D
(100) (StartFraction 1 Over 500 EndFraction) = E (X)
Option D
10

Penny Points

E
E(penny) = –0.33 and E(nickel) = 0.33, so she should play with the nickels.
E
E(penny) = 0.5 and E(nickel) = 1.5, so she should play with the nickels.
E
E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.
E
E(penny) = 2.38 and E(nickel) = 2, so she should play with the pennies.

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