please help with writing the programs IN PYTHON ! thanks!!

Problem 5. Consider a triangle and a point chosen within the triangle according to the uniform probability law. Let X be the distance from the point to the base of the triangle. Given the height of the triangle, find the CDF and the PDF of X Problem 6. Calamity Jane goes to the bank to make a withdrawal, and is equally likely to find 0 or 1 customers ahead of her. The service time of the customer ahead if present, is exponentially distributed with parameter X. What is the CDF of Jane's waiting time? Write programs to simulate the problems 5 and 6 on page 186, and display the output in a graphical form, with the following simplifications: 5) The triangle has one corner at the origin, one at (1,0), and one at (x,1), repeating the program for x - 0, 1/2,1. 6) Repeat the program with lambda 1, 10, 30, 60