Random Number Distributions. Create a GUI to display the distributions of different types of random numbers. The program should create the distributions by generating an array of 200,000 random values from a distribution and using function hist to create a histogram. Be sure to label the title and axes of the histogram properly. The program should support uniform, Gaussian, and Rayleigh distributions, with the distribution selection made by a popup menu. In addition, it should have an edit box to allow the user to select the number of bins in the histogram. Make sure that the values entered in the edit box are legal (the number of bins must be a positive integer).

To create a GUI that displays the distributions of different types of random numbers, follow these steps: 1. Design the GUI layout, including a popup menu for selecting the distribution type, an edit box for specifying the number of bins, a plot area for displaying the histogram, and proper labels for the title and axes. 2. Write a function that generates 200,000 random values based on the selected distribution using available functions like rand() for Uniform, randn() for Gaussian, and appropriate calculation for Rayleigh. 3. Check if the entered value for the number of bins is legal (a positive integer) and display an error message if it's not. 4. Create a histogram using the hist function with the generated random values and the specified number of bins, making sure to label the title and axes properly. 5. Update the plot area in the GUI with the generated histogram. 6. Define event handlers for the GUI elements, such as updating the distribution type for the popup menu and updating the number of bins for the edit box.