(a) Find the expected value of playing the game. O dollars |(b) What can Hans expect in the long run, after playing the game many times? O Hans can expect to gain money. He can expect to win I dollars per spin. O Hans can expect to lose money. He can expect to lose I dollars per spin. Hans can expect to break even (neither gain nor lose money).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Hans is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random.
This game is this: Hans spins the spinner once. He wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner
stops on the number 3, and $7 if the spinner stops on the number 4. He loses $1.25 if the spinner stops on 5 or 6.
(If necessary, consult a list of formulas.)
(a) Find the expected value of playing the game.
|| dollars
(b) What can Hans expect in the long run, after playing the game many times?
O Hans can expect to gain money.
He can expect to win | dollars per spin.
O Hans can expect to lose money.
He can expect to lose | dollars per spin.
Hans can expect to break even (neither gain nor lose money).
Transcribed Image Text:Es Hans is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Hans spins the spinner once. He wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. He loses $1.25 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. || dollars (b) What can Hans expect in the long run, after playing the game many times? O Hans can expect to gain money. He can expect to win | dollars per spin. O Hans can expect to lose money. He can expect to lose | dollars per spin. Hans can expect to break even (neither gain nor lose money).
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