One of the machines is causing quality problems as 10% of the engine parts produced on this machine have been found to be defective. Find the probability of finding 0, 1, 2, 3, and 4 defective parts in a sample of 50 parts (assuming 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)	20	22	24	25	27	28	29	31
Number	1	3	2	3	4	3	3	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 summarise, using appropriate software, the statistical data you have been investigating in a method that can be understood by non-technical colleagues