Suppose a random variable is equally likely to fall anywhere in the interval $[a,b]$.

Then the PDF is of the form:

$$f_{X}\left(x\right)=\begin{cases} \frac{1}{b-a} & \text{if }a\leq x\leq b\\ 0 & \text{otherwise}\end{cases}$$

Find and sketch the corresponding CDF. plzz help how I can find this in detail description..


closed as off-topic by Did, drhab, Claude Leibovici, Cameron Williams, user228113 Oct 15 '16 at 23:38

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Did, drhab, Claude Leibovici, Cameron Williams, Community
If this question can be reworded to fit the rules in the help center, please edit the question.

  • 2
    $\begingroup$ Apply $F_X(x)=\int^x_{-\infty} f_X(y)dy$ discerning the cases $x<a$,$a\leq x<b$ and $b\leq x$. $\endgroup$ – drhab Oct 15 '16 at 7:18
  • 2
    $\begingroup$ You might want to try the title "Mathematics" one day... $\endgroup$ – Did Oct 15 '16 at 7:22

Comment. Following the suggestion of @drhab: For the case $a = 2$ and $b = 4,$ here are plots of the density function $f(x)$ (at left) and the cumulative distribution function $F(x).$

enter image description here


Not the answer you're looking for? Browse other questions tagged or ask your own question.