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October 28th, 2015, 01:01 PM   #1
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Probability to find the random variable X within an interval

I have a question from the book Probability, Statistics, and Random Processes for Engineers by Stark and Woods. Their's no answer to the questions in the book so I post the question here and hope for an answer. The problem is stated as follows:

Let X be a continuous random variable with pdf
\begin{equation}
f_X(x)=
\begin{cases}
2x,0<x<1\\
0,otherwise
\end{cases}
\end{equation}
Find P(1/4<X<2)? Do I just have to calculate the integral of $f_X(x)$ from 1/4 to 1 or is there anything else I need to do? I would be thankful for an answer!

Last edited by Linder88; October 28th, 2015 at 01:40 PM.
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October 28th, 2015, 07:48 PM   #2
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Quote:
Originally Posted by Linder88 View Post
I have a question from the book Probability, Statistics, and Random Processes for Engineers by Stark and Woods. Their's no answer to the questions in the book so I post the question here and hope for an answer. The problem is stated as follows:

Let X be a continuous random variable with pdf
\begin{equation}
f_X(x)=
\begin{cases}
2x,0<x<1\\
0,otherwise
\end{cases}
\end{equation}
Find P(1/4<X<2)? Do I just have to calculate the integral of $f_X(x)$ from 1/4 to 1 or is there anything else I need to do? I would be thankful for an answer!
Looks good to me.
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