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xenn [34]
3 years ago
9

A light bulb manufacturer knows that 0.07% of all bulbs manufactured are defective. A testing machine is 98% effective. If a ran

domly selected light bulb is tested and found to be defective, what is the probability that it actually is defective?
Mathematics
1 answer:
victus00 [196]3 years ago
8 0
 <span>P[ actually defective & shown as defective] = 98% of 0.08% = 0.0784% 
P[ok & shown as defective] = 2% of 99.92% = 1.9984% 

P[actually defective | shown as defective] = 0.0784/(0.0784+1.9984) = 3.775% <-------</span>
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