# Suppose that a product must go through an assembly line that consists of five sequential operations. The time it takes

## Question:

Suppose that a product must go through an assembly line that consists of five sequential operations. The time it takes to complete each operation is normally distributed with a mean of 180 seconds and standard deviation of 5 seconds. Let X denote the cycle time for the line, so that after X seconds each operation is supposed to be finished and ready to pass the product to the next operation in the assembly line.

a. If the cycle time X = 180 seconds, what is the probability that all five operations will be completed?

b. What cycle time will ensure that all operations are finished 98% of the time?

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**Related Book For**

## Spreadsheet Modeling & Decision Analysis A Practical Introduction to Management Science

**ISBN:** 978-0324656633

5th edition

**Authors:** Cliff T. Ragsdale

**Question Details**

Chapter #

**12**Section: Questions

Problem: 6

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