Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 80% 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-free component is obtained. (a) What is the smallest possible y value, and what experimental outcome gives this y value? What is the second smallest y value, and what is the corresponding outcome? The smallest value of y is The outcome corresponding to this is ? v The second smallest value of y is The outcome that corresponds to this is ? v S F (b) What is the set of all possible y values? O The set of nonnegative integers. O The set of all integers. FF FS SF SS O The set of positive integers. O The set of all real numbers. O The set of positive real numbers.

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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 80% 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-free component is obtained.
(a) What is the smallest possible y value, and what experimental outcome gives this y value? What is the second smallest y value, and what is the corresponding outcome?
The smallest value of y is
. The outcome corresponding to this is ?
The second smallest value of y is
. The outcome that corresponds to this is ?
S
(b) What is the set of all possible y values?
FF
O The set of nonnegative integers.
O The set of all integers.
SF
O The set of positive integers.
O The set of all real numbers.
O The set of positive real numbers.
Transcribed Image Text:Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 80% 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-free component is obtained. (a) What is the smallest possible y value, and what experimental outcome gives this y value? What is the second smallest y value, and what is the corresponding outcome? The smallest value of y is . The outcome corresponding to this is ? The second smallest value of y is . The outcome that corresponds to this is ? S (b) What is the set of all possible y values? FF O The set of nonnegative integers. O The set of all integers. SF O The set of positive integers. O The set of all real numbers. O The set of positive real numbers.
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