SOLUTION: Let X be a random variable with probability density function given by:           | 0, if x <0 f (x) = { cx, if 0 <= x <= 2           | 0, if x> 2 a) Get the value of consta

Since f(2) = c(2) = 2c

f(x) has the graph:



Since this is a probability density function, the area between
the graph (in red) and the x-axis is 1.  Since the entire area 
is the area of the right triangle, we just use the formula for 
the area of a triangle:

 
So since the area A of the triangle is 1, 

 





And therefore



So the point (2,2c) is the point (2,1), 
and the graph of f(x) is

Edwin