SOLUTION: A box contains 131 similar transistors of which 70 are satisfactory, 43 gives too high a gain under normal operating conditions and 18 gives too low gain. Determine the probability
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Question 256053: A box contains 131 similar transistors of which 70 are satisfactory, 43 gives too high a gain under normal operating conditions and 18 gives too low gain. Determine the probability when drawing two resistors in turn at random with replacment of having
(a) two satisfactory
(b) none with low gain
(c) one satisfactory and one with high gain Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A box contains 131 similar transistors of which 70 are satisfactory, 43 gives too high a gain under normal operating conditions and 18 gives too low gain. Determine the probability when drawing two resistors in turn at random with replacment of having
(a) two satisfactory
P(2 good) = 70C2/131C2 = 2415/8515 = 0.2836..
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(b) none with low gain
P(no low gain) = 113C2/131C2 = 6328/8515 = 0.7432..
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(c) one satisfactory and one with high gain
P(one high and one low) = 1-[P(2 good)+P(2 low)+P(2 high)]
= 1 - [0.2836 + (1-0.7432)+ 43C2/131C2]
= 0.6465
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Cheers,
Stan H.
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