2 votes 2 votes A random variable has the Probability Density Function (PDF) $f(x) = \begin{cases}3x^2&; 0 < x < 1\\ 0&; otherwise \end{cases}$ Then $P\left ( x\leqslant 1/2 \right )=$ __________ Probability tbb-mockgate-2 numerical-answers engineering-mathematics probability random-variable + – Bikram asked Jan 24, 2017 • retagged Sep 12, 2020 by ajaysoni1924 Bikram 541 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes Sum of all probability = 1 Equation given in box is true for every Probability Density Function f(x). Digvijay Pandey answered Jan 25, 2017 Digvijay Pandey comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments Rahul Jain25 commented Feb 4, 2017 reply Follow Share Why not 0.25??? 1/(1/2-0) =2=k. Now integrating it kf(x)dx from 0 t0 1/2 should give 0.25 0 votes 0 votes VS commented Jan 13, 2018 reply Follow Share Sir, I am unable to understand why are you finding k ? Whats the use of it ? We are given PDF , We want Cumulative Probability Distribution function, we can just integrate from -inf upto 0.5. 4 votes 4 votes yashforreal commented Nov 4, 2022 reply Follow Share Can we say that ‘k’ is the rate at which probability is changing? Sort of finding out what kind of a distribution this probability would follow? 0 votes 0 votes Please log in or register to add a comment.