Set of all possible y values

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Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 70% of all such components are defect-free. Components are independently selected and tested one by one. Let denote the number of components that must be tested until a defect-free component is obtained.

a. What is the smallest possible value, and what experimental outcome gives this value? What is the second smallest value, and what outcome gives rise to it?

b. What is the set of all possible values?

c. Determine the probability of each of the five smallest values. You should see a pattern that leads to a simple formula for py), the probability distribution of y.

Reference no: EM131010193

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