Amachine is used to manufacture certain items, one at a time. Manufacturing time for one item is random, well described with normal distribution with average 17.7 minutes and standard deviation 1.5 minutes. The machine works autonomously, but requires occasional manual calibration. Suppose that manual calibration may be required after finishing an item with probability 46.9% independently of any other items. Find the standard deviation for the time between two consecutive calibrations.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

Amachine is used to manufacture certain items, one at a time. Manufacturing time for
one item is random, well described with normal distribution with average 17.7
minutes and standard deviation 1.5 minutes. The machine works autonomously, but
requires occasional manual calibration. Suppose that manual calibration may be
required after finishing an item with probability 46.9% independently of any other
items. Find the standard deviation for the time between two consecutive calibrations.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON