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As a quality control​ manager, you are responsible for checking the quality level of AC adapters...

As a quality control​ manager, you are responsible for checking the quality level of AC adapters for tablet PCs that your company manufactures. You must reject a shipment if you find 5 defective units. Suppose a shipment of 43 AC adapters has 9 defective units and 34 nondefective units. Complete parts​ (a) through​ (d) below assuming you sample 12 AC adapters.

a. What is the probability that there will be no defective units in the​ shipment?

b. What is the probability that there will be at least 1 defective unit in the​ shipment?

c. What is the probability that there will be 4 defective units in the​ shipment?

d. What is the probability that the shipment will be​ accepted?

Math   Statistics-And-Probability   
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Answer #1

Hello Sir/ Mam

A shipment of 43 AC Adapters has 9 defective units and 34 non-defective units.

Hence, a selected AC Adapter by sample has a probability of being defective by 9/43.

As sample of 12 AC Adapters is taken,

n = 12 , p = 9/43

(a) THE REQUIRED PROBABILITY = 5.97%

(b) THE REQUIRED PROBABILITY = 94.03%

(c) THE REQUIRED PROBABILITY = 5.97%

(d) THE REQUIRED PROBABILITY = 91.44%

I hope this solves your doubt.

Do give a thumbs up if you find this helpful.

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