Components coming off an assembly line are either free of defects (S, for succes

Question

Components coming off an assembly line are either free of defects (S, for success) or defective (F, failure). Suppose that 50% of all such components are defect free Components are Independently selected and tested one by one. Let y denote the number of components that must be tested until a defect component is obtained. (a) What is the smallest possible y value, and what experimented outcome give this y value? What is the second smallest y value, and what outcome gives rise to it? The smallest values of y is 8. The outcome corresponding to this is f. The second smallest values of y is 16. The outcome that corresponding to this is 2. (b) Determine the probability of each of the five smallest y values. You should see a pattern that leads to a simple formula for P(y), the probability distribution of y. P(y = 1) = 8 P(y = 2) = 16 P(y = 3) = 032 P(y = 1) = 004 P(y = 1) = 00128

Explanation / Answer

smallest value of Y is 1 and outcome corresponding to this is S

the second smallest value of y is 2 and outcome corresponding to this is FS

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