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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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Answer:

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We have to find the time interval for which the car exceeded the speed limit of 55 mph.

While, we are given that the speed of the car was constantly increasing, hence the speed over all increased from the limit of 55 mph = 65.50-55.00 = 10.50 mph

We are also given that Joes car was increasing speed at a constant rate of 1.50 mph for every passing minute. Hence

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1 mph will be increase in \frac{1}{1.5} minutes

Hence

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