Part 4:

The company considers itself to have quality processes in line with 6s principles 

Measurement of inspection time, from a large sample of a specific engine part, gave the following distribution:

You have been asked to determine the mean inspection time and the standard deviation (in seconds). You should also present a graphical illustration of the distribution using appropriate computer software.

From the data gathered and processed you have asked to determine:

a) the maximum and minimum limits that inspection time might take (assuming the distribution to be normal and 6s compliant (all times within mean ±3s)

b) the probability that a randomly chosen inspection time will be greater than 180 seconds

c) the probability that a randomly chosen inspection time will be shorter than 60 seconds

One of the machines is causing quality problems as P% 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.