Prompt
Create an image representing the chi-squared distribution, a probability distribution used in statistics, particularly in hypothesis testing and goodness-of-fit tests. The image should feature a graph or chart showcasing the distribution's characteristic shape, with the x-axis representing the values of the chi-squared statistic and the y-axis representing the probability density. Incorporate mathematical notation, such as χ²(k), and include a visual representation of the distribution's dependence on the degrees of freedom (k). The style should be formal and technical, suitable for an academic or professional setting in statistics. The color scheme should be neutral, with a focus on clear typography and precise graphical representations. Include a subtle background texture or pattern that suggests a connection to statistical analysis or mathematical concepts.
