Quiz Instructions
1 answer:
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For this problem, the most accurate is to use combinations
Because the order in which it was selected in the components does not matter to us, we use combinations
Then the combinations are
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:
Where is the number of ways to select 3 non-defective components from 117 non-defective components and
is the number of ways to select 3 components from 120.
So:
Finally, the probability that at least one of the selected components is defective is:
P = 7.4%
ANSWER
The radius is 4
EXPLANATION
The given equation is:
We complete the square to get the expression in standard form:
We factor using perfect squares to get:
This implies that,
Comparing to
The radius is r=4