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S2 Topic 2: Continuous random variables
Visualizing the mode backmore
A pdf f(x) is defined by:
pdf         pdf
The mode of the distribution is the value occuring with highest probability. On a graph of the pdf this will be the maximum turning point - or the point where the gradient is zero. Use the display below to get an approximate estimate of the mode of this pdf.







Answers
The value required for the mode is about 2. To verify this value precisely you would need to use calculus to find the gradient function.
JavaMath interactive graphs Based on free Java applets from JavaMath