Keiko is playing a game in which she 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: Keiko spins the spinner once. She wins S1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $12.50 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 Keiko expect in the long run, after playing the game many times? O Keiko can expect to gain money. She can expect to win dollars per spin. O Keiko can expect to lose money. She can expect to lose | dollars per spin. O Keiko can expect to break even (neither gain nor lose money).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Keiko is playing a game in which she 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: Keiko spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner
stops on the number 3, and $10 if the spinner stops on the number 4. She loses $12.50 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 Keiko expect in the long run, after playing the game many times?
O Keiko can expect to gain money.
She can expect to win dollars per spin.
O Keiko can expect to lose money.
She can expect to lose dollars per spin.
O Keiko can expect to break even (neither gain nor lose money).
Transcribed Image Text:Keiko is playing a game in which she 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: Keiko spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $12.50 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 Keiko expect in the long run, after playing the game many times? O Keiko can expect to gain money. She can expect to win dollars per spin. O Keiko can expect to lose money. She can expect to lose dollars per spin. O Keiko can expect to break even (neither gain nor lose money).
A sample of a radioactive material is studied in a lab. There are 741 gamma ray emissions over 130 seconds.
Use the Poisson distribution to find the probability that 1 or fewer gamma rays are emitted in a given second.
Do not round intermediate computations, and round your answer to three decimal places.
(If necessary, consult a list of formulas.)
?
Transcribed Image Text:A sample of a radioactive material is studied in a lab. There are 741 gamma ray emissions over 130 seconds. Use the Poisson distribution to find the probability that 1 or fewer gamma rays are emitted in a given second. Do not round intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.) ?
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