Question: 2. Let $mathrm{X} $ be a continuous random variable with the cumulative distribution function $$ begin{array}{11} mathrm{F} (x)=0, & x2. end{array} $$ a) Find the

$2. Let $\mathrm{X} $ be a continuous random variable with the$

2. Let $\mathrm{X} $ be a continuous random variable with the cumulative distribution function $$ \begin{array}{11} \mathrm{F} (x)=0, & x2. \end{array} $$ a) Find the probability density function $f(x)$. b) Find the probability $\mathrm{P}(1 \leq \mathrm{X} \leq 4)$. c) Find $\mu_{X}=E(X)$. d) Find $\sigma_{x}=\operatorname{SD} (x)$. SS.SP.284

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