Science:Math Exam Resources/Courses/MATH105/April 2010/Question 01 (l)
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Question 01 (l) 

Let k be a constant. Find the value of k such that is a probability density function on 1 ≤ x ≤ 4. 
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? 
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Hint 

For to be a probability density function on [a,b] it needs to satisfy for all , and 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The constant k needs to be chosen such that f(x) integrates to 1: hence we choose k=5/62. 