Question: Suppose $X$ is a normally distributed random variable with $mu=11$ and $sigma^{2}=16$. (a) Calculate $P(X5) $. (e) Find the value of $c$ that makes the

$Suppose $X$ is a normally distributed random variable with $\mu=11$ and$

Suppose $X$ is a normally distributed random variable with $\mu=11$ and $\sigma^{2}=16$. (a) Calculate $P(X5) $. (e) Find the value of $c$ that makes the statement true: $PX \geq c)=0.85$. (f) Find the 95th percentile of the distribution. SP.PC.074

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