As a quality control manager, you are responsible for checking the quality level

Question

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 11 defective units and 32 nondefective units. Complete parts (a) through (d) below assuming you sample 10 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 5 defective units in the shipment?

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

Explanation / Answer

A) P(no defectives) = 32C10/43C10 = 0.0336

B) P(at least 1 defective) = 1 - P(no defectives) = 1- 0.0336 = 0.9664

C) P(5 defectives) = 11C5 * 32C5 / 43C10 = 0.0485

D) P(shipment will be accepted) = 1 - 0.0485 = 0.9515

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.