if the lowerbound is 3 and Median is 9, How do I calculate the Upper Bound ?
I have been told x is drawn from a symmetric triangle distribution. Im not sure which value to use(I have to sub it into a formula) , I was thinking if perhaps I had the upper bound,lower bound and median. I could work out the mean and use the mean value ?
Hint1: In a symmetric distribution the mean equals the median.
Hint2: Since the triangle distribution is symmetric, you can infer that $b-a=c-b$ according to the notation in Wikipedia, where $a$ is the lower bound and $b=$ median and mean value (due to symmetry).