Science:Math Exam Resources/Courses/MATH105/April 2016/Question 04 (a)
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Question 04 (a) 

Suppose that a continuous random variable has the probability density function
where is a constant. Find the value of . 
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 

Use the fact that all probabilites must integrate to . 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Note that the probability density function has as its domain. Since all probabilities must to integrate to , satisfies
We first evaluate the integral on the left hand side;
Answer: 