Science:Math Exam Resources/Courses/MATH103/April 2010/Question 03 (b)
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Question 03 (b) |
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A toxic chemical has been spilled somewhere on a 100 km stretch of highway. The probability that the spill occurred within km of the factory is shown in the panel below.
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Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? |
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! |
Hint |
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The most probable locations are where the probability density function has its highest values. |
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.
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Solution |
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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. The spill most likely occurred around the x=25km and/or at the x=75km margin. This is where the cumulative probability F(x) changes the most, which means that this is where the probability density function p(x) has its maximal values. |