In this assignment, we will find the PMF and the CDF of a random variable in binomial distribution. A factory manufactures 2,000 LCD display panels a week. It is known that each LCD panel is produced defective at the rate of 0.02.
1. Write a program code to find and draw the PMF and the CDF of this distribution for 500 LCD panels. What is the average number of defective LCD panels Repeat this experiment for 1,000 and 5,000 LCD panels? How does the number of samples affect your results?
2. Draw the graph of the theoretical PMF and CDF n top of the ones estimated from the random data in Part 1. Compute the theoretical binomial distribution and the distribution estimated from the data samples.