the probability that a product passes quality-control inspections is 0.88. the probability that it passes quality-control inspections and is packaged for shipment immediately is 0.03. what is the probability that it is packaged for shipment immediately given that it passed quality-control inspections



Answer :

Probability of the packaged for shipment immediately that passed quality-control inspections 0.034.

Given that,

A product has a 0.88 chance of passing quality-control tests. It has a 0.03 chance of passing quality-control tests and being packaged for shipping right away.

We have to find given that it passed quality-control inspections, what is the probability that it will be packaged for shipment right away.

P(passes)=0.88 and P(pass and pack)=0.03

Probability of the packaged for shipment immediately that passed quality-control inspections

= 0.03/0.88

=0.034

Therefore, Probability of the packaged for shipment immediately that passed quality-control inspections 0.034.

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The probability that a package intended for quick dispatch passed quality-control inspections is 0.034.

Given, A product's likelihood of passing quality-control testing is 0.88. There is a 0.03 percent chance that it will pass quality-control inspections and be packaged for transportation straight away.

Given that quality control checks were successful, we must determine the likelihood that it will be packaged for shipment straight soon.

P (passes) = 0.88 and P (pass and pack) = 0.03

Probability that items packaged for immediate shipment will pass quality-control checks:

= 0.03/0.88

=0.034

Therefore, there is a 0.034 percent chance that the packaging was approved for shipment right away.

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