Weibull Distribution The Weibull distribution can be used in analysing failure rates, wind speed distributions, and many other engineering phenomena. It is given by the equation: -1 ={:6) e-(x/k)* f(x;k, 2) = 7 for x > 0 0 for x so where the shape factor, k>0, and the scale factor, 1 >0, characterise the distribution profile. An example distribution is shown in the figure at the end of this assessment description. Write a Python program which calculates the Weibull distribution as it varies with either the scale or shape parameter; i.e. if varying in scale, use a fixed value for the shape parameter and vice versa. Your script should also plot the distribution as shown in the figure at the end. 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: Xmin 2 0, Xmax > Xmin, Xine min, and that inc0): 0 Maximum x value (> min value): 6 Step increment for the x axis: .1 Do you wish to plot curves which vary in: Shape parameter (k) or scale parameter (lambda) Please select: k Please enter value for scale parameter (lambda): 1.5 Please enter the min. value, max. value and increment for the shape parameter (k) Minimum k value (>0): 3.5 Maximum k value (> min value): .5 Maximum k value > min value): 4.5 Step increment for k: .2 A sample figure screen: Wiebull Distribution 60 50 k =3.50, lamda =1.50 k =3.70, lamda =1.50 - k =3.90, lamda =1.50 k =4.10, lamda =1.50 -k =4.30, lamda =1.50 k =4.50, lamda =1.50 40 f(x;k,lamda) 20 10 0 N 3 4 5 6