Question: The random variable (X) is normally distributed with mean (mu=5) and standard deviation (sigma=4). Determine the respective values of (x) which satisfy [begin{gathered} P(X leq

The random variable \(X\) is normally distributed with mean \(\mu=5\) and standard deviation \(\sigma=4\).

Determine the respective values of \(x\) which satisfy

\[\begin{gathered} P(X \leq x)=0.5, P(X>x)=0.95, P(x \leq X<9)=0.2, P(3

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