An Assembly Line Consists of 158 Tasks Grouped into 32

question 136

Multiple Choice

An assembly line consists of 158 tasks grouped into 32 workstations. The sum of all task times is 105 minutes. The largest assigned cycle time is 4 minutes. The efficiency of this line is approximately

• A) 8 percent
• B) 21 percent
• C) 82 percent
• D) 100 percent
• E) none of the above

---

Definitions:

Probability Distribution

A mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

Random Variable

An element whose values represent numerical results from a stochastic occurrence.

Sample Space

The set of all possible outcomes of a random experiment or observation.

Discrete Random Variable

A variable that can take on a countable number of possible values, often representing counts or categories.