One of the machines is causing quality problems as 6% of the bolts produced on this machine have been found to be defective. You have been asked to find the probability of finding 0, 1, 2, 3, and 4 defective bolts in a sample of 80 bolts. You may assume a binomial distribution. You should also present a graphical illustration of the probabilities using appropriate computer software. Measurement of inspection time, from a large sample of outsourced components, gave the following distribution: Time (sec) Number 20 1 22 3 24 2 25 3 27 4 28 3 29 3 31 4 Your manager thinks that the inspection time should be the same for all outsourced components. Using the data provided, test this hypothesis, and indicate whether there is a correlation or not. Your manager has asked you to summarize, using appropriate software, the statistical data you have been investigating in a method that can be understood by non-technical colleagues.