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Statistical Analysis of Damaged Components

Please provide detailed answers and easy to understand explanations for questions below. I have low level background in stats. Any internet references would be helpful for my understanding.

A box contains 10 components of which 4 are damaged. You select 3 components from
the box, one at a time without replacement (that is, you do not return them to the box).
(a) Determine the sample space for the experiment.
(b) Is this a binomial experiment? why or why not?
(c) Draw the probability tree for the experiment.
(d) What is the probability that the last component drawn (the third one) is a damaged one?
(e) Given that the last component drawn (the third one) is a damaged one, what is the probability
that the second drawn component is not damaged?

Solution Preview

See the attached file. Thanks

a) The sample for the experiment is the set of all possible outcomes. Let D denotes a defective component and C denotes a good component, then all possible outcomes for the experiment are:

b) The main property of a binomial experiment is that the probability of success / failure remains constant across a large number of repetitions. This ...

Solution Summary

This solution shows step-by-step calculations and justifications to determine the sample of the experiment, property of the binomial experiment, and probabilities of different scenarios.