Science:Math Exam Resources/Courses/MATH 180/December 2017/Question 11 (a)/Statement

The function

$$P(x)={\frac {1}{4}}xe^{-x/2},\quad x\geq 0,$$

is an example of a Gamma distribution, a function that may be used to describe certain probabilities.

(a) Write down the coordinates of all ${\textstyle x}$- and ${\textstyle y}$-intercepts of ${\textstyle P(x)}$.