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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Jina's Dart Game: An Exercise in Probability** Jina is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random. **Game Rules:** - Jina wins: - $1 if the dart lands in slice 1 - $2 if it lands in slice 2 - $5 if it lands in slice 3 - $8 if it lands in slice 4 - She loses $2.50 if the dart lands in slices 5, 6, 7, or 8. (For additional information, consult a [list of formulas](#).) **Exercises:** **(a)** Find the expected value of playing the game. - [ ] dollars **(b)** What can Jina expect in the long run, after playing the game many times? - [ ] Jina can expect to gain money. She can expect to win [ ] dollars per toss. - [ ] Jina can expect to lose money. She can expect to lose [ ] dollars per toss. - [ ] Jina can expect to break even (neither gain nor lose money).
Transcribed Image Text:**Jina's Dart Game: An Exercise in Probability** Jina is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random. **Game Rules:** - Jina wins: - $1 if the dart lands in slice 1 - $2 if it lands in slice 2 - $5 if it lands in slice 3 - $8 if it lands in slice 4 - She loses $2.50 if the dart lands in slices 5, 6, 7, or 8. (For additional information, consult a [list of formulas](#).) **Exercises:** **(a)** Find the expected value of playing the game. - [ ] dollars **(b)** What can Jina expect in the long run, after playing the game many times? - [ ] Jina can expect to gain money. She can expect to win [ ] dollars per toss. - [ ] Jina can expect to lose money. She can expect to lose [ ] dollars per toss. - [ ] Jina can expect to break even (neither gain nor lose money).
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