Question: A variable has the density curve with equation y = 1 x/2 for 0 < x < 2, and y = 0 otherwise. a.

A variable has the density curve with equation y = 1 − x/2 for 0 < x < 2, and y = 0 otherwise.
a. Graph the density curve of this variable.
b. Show that the area under this density curve to the left of any number x between 0 and 2 equals x − x2 / 4.
What percentage of all possible observations of the variable
c. lie between 1/2 and 1?
d. are at least 1.5?

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