The Quality Control Manager for the NKA Inc Based on Historical Data,if the Lot Is of Poor Quality,40

question 66

Multiple Choice

The quality control manager for the NKA Inc.must decide whether to accept (alternative 1) ,further analyze (alternative 2) ,or reject (alternative 3) the shipment (lot) of incoming material.The historical data indicates that there is 30% chance that the lot is poor quality (S₁) ,50% chance that the lot is fair quality (S₂) ,and 20% chance that the lot is good quality (S₃) .Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. $$\begin{array} { l c c c } & { \text { States of Nature } } \\\text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \\\text { Accept } & 20 & 30 & 90 \\\text { Further analyze } & 60 & 70 & 15 \\\text { Reject } & 80 & 50 & 30\end{array}$$
Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting one unit,the manager determines that the unit is not defective.Based on this additional information,what is the revised (posterior) probability for the reject state?

• A)24
• B)52
• C)18
• D)39
• E)78

Identify the various supporters and opponents of the independence movement, taking into account socioeconomic status, race, religion, and gender.

Examine the irony of the call for liberty amidst the backdrop of slavery, including justifications for retaining slavery and opposing viewpoints.

Recognize the growth of the free black population post-Revolution and the concepts of republican motherhood and emancipation movements.

Discuss the transformation of religion and the emergence of religious freedom, tolerance, and the separation of church and state in the new nation.

---

Definitions:

Ilium

The largest bone of the pelvis, forming the uppermost part.

Ischium

One of the three bones that make up the pelvis, forming the lower and back part of the hip bone.

Osteoblasts

Cells responsible for bone formation.

Bone Growth

A physiological process resulting in the increase in size of bones, involving the production of new bone tissue through ossification or calcification.