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

Question

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] · Answer 1 · 2021-12-19T14:48:39+03:00

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>