MCQ
The interval in which $y=x^2 e^{-x}$ is increasing is _________.
- A$(-\infty, \infty)$
- B$(2, \infty)$
- C$(-2, 0)$
- D(0, 2)
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($1$) $P(X>Y)$ is
($A$) $\frac{1}{4}$ ($B$) $\frac{5}{12}$ ($C$) $\frac{1}{2}$ ($D$) $\frac{7}{12}$
($2$) $P(X=Y)$ is
($A$). $\frac{11}{36}$ ($B$) $\frac{1}{3}$ ($C$) $\frac{13}{36}$ ($D$) $\frac{1}{2}$
Given the answer quetion ($1$) and ($2$)