Resources for The Standard Normal Distribution
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Questions
8
With Worked SolutionClick Here -
Video Tutorials
2
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The Standard Normal Distribution Theory
![Calculating the \(z\) value. \[ z=\dfrac{x-\mu}{\sigma} \] where \(x\) is a random variable, \(\mu\) is the mean and \(\sigma\) is the standard deviation\\ \textbf{Example}\\ \(X\) is a random variable of a normal distribution with mean 8 and variance 4. \((X-N(8,4))\)\\ Find the \(z\) value that would represent an \(x\) value of 10 .\\ \textbf{Solution}\\ $\begin{aligned} & z=\frac{x-\mu}{\sigma} \\ & z=\frac{10-8}{2} \\ & z=1 \end{aligned}$\\](/media/maadvabi/26850.png)