9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
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The Wheel of Fate<br />
2. One young person who loved eating sundaes at the store grew up and became a math professor. He had<br />
the idea of allowing students to take a certain quiz, or (instead) opt to spin...<br />
the Wheel of Fate!<br />
(While this idea was still in its planning stages, it was vetoed by the department head.)<br />
Now, assume that you think you can score 80% on the quiz.<br />
(a) What angle would θ have to be in order to give you at least a 75% chance of spinning a grade of at<br />
least 80%?<br />
(b) If θ was 100 ◦ , would you take the quiz or spin? Why? Which would give you the best score, on<br />
average?<br />
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