# Science:Math Exam Resources/Courses/MATH105/April 2015/Question 04 (b)

MATH105 April 2015
Other MATH105 Exams

### Question 04 (b)

A continuous random variable $X$ is given by the following probability density function

$f(x)=\left\{{\begin{array}{ll}{\frac {1}{4}}+{\frac {1}{2}}|x|&{\mbox{if }}-1\leq x\leq 1\\0&{\mbox{otherwise.}}\end{array}}\right.$ Let $F(x)$ be the cumulative distribution function for the random variable $X.$ Find $F(x)$ for $0 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!

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