Finding Expected Value In Exercise, find the expected net

Chapter 4, Problem 37E

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QUESTION:

Problem 37E

Finding Expected Value In Exercise, find the expected net gain to the player for one play of the game. If x is the net gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose.

In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, . . ., 34, 35, and 36, marked on equally spaced slots. If a player bets $1 on a number and wins, then the player keeps the dollar and receives an additional $35. Otherwise, the dollar is lost.

 

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QUESTION:

Problem 37E

Finding Expected Value In Exercise, find the expected net gain to the player for one play of the game. If x is the net gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose.

In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, . . ., 34, 35, and 36, marked on equally spaced slots. If a player bets $1 on a number and wins, then the player keeps the dollar and receives an additional $35. Otherwise, the dollar is lost.

 

ANSWER:

Answer

Step 1 of 1

(a)

We are asked to find the expected net gain to the player for one play of the game

In American roulette, the wheel has the 38 numbers,00, 0, 1, 2,.......34, 35, and 36, marked on equally spaced slots.

If a player bets $1 on a number and wins, then the player keeps the dollar and receives an additional $35. Otherwise, the dollar is lost.

Let  denote the random variable which defined the net gain to a

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