题目

设 $X \sim N\left({\mu,{4}^{2}}\right),Y \sim N\left({\mu,{5}^{2}}\right)$,记 ${p}_{1} = P\{ X \leq \mu - 4\},{p}_{2} = P\{ Y \geq \mu + 5\}$,则$\underline{\qquad}$.

A. 对任意实数 $\mu$,有 ${p}_{1} > {p}_{2}$
B. 对任意实数 $\mu,{p}_{1} < {p}_{2}$
C. 对任意实数 $\mu$,有 ${p}_{1} = {p}_{2}$
D. 只对 $\mu = 0$,有 ${p}_{1} = {p}_{2}$