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A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spun. Each outcome is equally likely. The game costs $5 to play. The number of dollars you win is the square of the number that comes up on the spinner. Ex: If the spinner comes up 3, you win $9. Let N be a random variable that corresponds to your net winnings in dollars. What is the expected value of N

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The expected value of N will be given as:- Money =  N² -  5.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given in the question that:-

  • A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spun
  • The game costs $5 to play.
  • The number of dollars you win is the square of the number that comes up on the spinner.
  • If the spinner comes up 3, you win $9.

So from the given information, the expression will be:-

N be a random variable that corresponds to your net winnings in dollars.

Money =  N² -  5.

From the above equation, we can calculate the amount earned by the spinner number that comes.

Therefore the expected value of N will be given as:- Money =  N² -  5.

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