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Using the normal approximation and the continuity correction, determine the smallest fine, rounded to the nearest integer, that ensures the department will raise at least $7,000 with 95% certainty. | Using the normal approximation and the continuity correction, determine the smallest fine, rounded to the nearest integer, that ensures the department will raise at least $7,000 with 95% certainty. | ||
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<li>$171</li> | <li>$171</li> | ||
<li>$180</li> | <li>$180</li> | ||
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<li>$190</li> | <li>$190</li> | ||
<li>$200</li> | <li>$200</li> | ||
</ | </ul> | ||
Latest revision as of 17:49, 18 March 2024
A police department has deployed a fleet of 5 police officers to give speeding tickets during the last day of the current month. The police department wants to give a fixed fine for every speeding infraction. Each police officer has to measure the speed of 70 vehicles and the probability that a vehicle goes above the speed limit is 0.15.
Using the normal approximation and the continuity correction, determine the smallest fine, rounded to the nearest integer, that ensures the department will raise at least $7,000 with 95% certainty.
- $171
- $180
- $185
- $190
- $200