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Continuous Probibility Distributions and their Applications

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The paint department in an airline corporation applies 2 procedures a) painting b) waxing. The painting process is defective 20% of the time, while the waxing department is defective 10% of the time. Each airplane goes through the painting then the waxing. After these 2 processes take place the airplane is then inspected. If either the painting or waxing is defective, the airplane is sent to rework w/ both process applied again (this
process is 100% effective).

a) What is the probability that an airplane is returned to the special station for rework?

b) In a batch of 1000 airplanes, what is the expected number of airplanes that will be returned for rework?

c) In a batch of 1000 airplanes, what is the probability that the number of returned
airplanes is less that or equal to 200?

d) Let X be the number of airplanes in a group of 1,000 airplanes that have painting defects. Let Y be the number of airplanes in a group of 1,000 airplanes that have waxing defects. What is the distribution of X? What is the distribution of Y?

e) What is the probability that the total number of defects, X+Y, is less than or equal
to 300?

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Solution Summary

Provides steps necessary to answer each of the probability questions.

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