The function is just 0 until you reach the origin, then
it's x/2 until the point (2,1) then at 2 it's zero again.
Now you really should find the cdf instead.
However
While
Finally
My professor gave us these problem and I can't solve it. He didn't really explain well the lesson on normal distribution so I'm just so lost with this. Hope somebody can help.
1.) Let X be a continuous random variable defined on the interval [0, 2]. The PDF of X is given by
a. Graph the PDF of X
b. Find P(X>1.5)
c. Find P(X≤1.5)
d. Find P(0.5<X<1.5)