1. The problem is to draw a graph of the standard normal distribution, plot a specific z-score, and shade the area corresponding to that z-score. 2. The standard normal distribution is given by the probability density function: $$f(z) = \frac{1}{\sqrt{2\pi}} e^{-\frac{z^2}{2}}$$ where $z$ is the z-score. 3. The z-score represents the number of standard deviations a data point is from the mean (which is 0 in the standard normal distribution). 4. To plot the z-score and shade the area, we: - Plot the curve $y = \frac{1}{\sqrt{2\pi}} e^{-\frac{z^2}{2}}$ - Mark the point on the $z$-axis corresponding to the z-score - Shade the area under the curve to the left (or right) of the z-score depending on the problem 5. This shaded area represents the cumulative probability $P(Z \leq z)$ or $P(Z \geq z)$. Since no specific z-score was given, the graph is general for any z-score. Final answer: The function to plot is $$y = \frac{1}{\sqrt{2\pi}} e^{-\frac{z^2}{2}}$$ with the z-score marked on the horizontal axis and the area under the curve shaded accordingly.