solve using Matlab

Beta Distribution The Beta distribution can be used in analysis of population genetics, time allocation in project management, control systems, variability of soil properties, etc. It is given by the equation: 86x9,) = Flat (1 -x) Where : x must lie between the limits : 0 SX S1 the shape parameters a, > 0, and is the Gamma function (use the built in MATLAB function, gammal Write a MATLAB script which calculates the Beta distribution as it varies with either the a or scale parameter; i.e. if varying a, use a fixed value for the parameter and vice versa. Your script should also plot the distribution as shown in the figure below. Your program should : Ask for the minimum, maximum and increment values for x. Test to make sure these are within the correct limits, i.e. that: o Xun 20, o X Xmax SI O XXX Ask the user which option they would like: a fixed value of a with an array of values, or a fixed value of with an array of a values. Ask for the minimum, maximum and increment of a (or B) Depending on the option selected. Test to make sure these are within limits (ie, min 20. max > min, and that inc