A System Has Two Components That Operate in Parallel, as Shown

question 4

Multiple Choice

A system has two components that operate in parallel, as shown in the following diagram. Because the components operate in parallel, at least one of the components must function properly if the system is to function properly. The probability of failure for components 1 and 2, during one period of operation, is 0.2 and 0.03, respectively. Let F1 denote the event that component 1 fails during one period of operation and F2 denote the event that component 2 fails during one period of operation. The component failures are independent. The probability that the system functions properly during one period of operation is closest to:

• A)0.994.
• B)0.97.
• C)0.94.
• D)0.776.

Understand the concept of standard cost systems, including the recording of transactions at standard costs.

Calculate variances between actual and standard costs for direct materials and direct labor.

Analyze and interpret materials price and quantity variances.

Calculate and interpret direct labor rate and efficiency variances.

---

Definitions:

Alzheimer's Disease

A progressive neurological disorder that affects memory, thinking, and behavior, ultimately leading to dementia.

Families

Groups of individuals related by blood, marriage, or a sense of commitment, often forming the basic unit of society.

Beta-Amyloid

A protein fragment snipped from an amyloid precursor protein that, in excessive amounts, can form plaques in the brain and is a hallmark of Alzheimer's disease.

Protein Tau

A protein associated with the stabilization of microtubules in nerve cells, whose abnormal accumulation is linked to neurodegenerative diseases like Alzheimer's.