Question packaging cds 62 53 a manufacturer of compact, Ask an Expert

Statistics

Question: Packaging CDs (6.2, 5.3) A manufacturer of compact discs (CDs) wants to be sure that their CDs will fit inside the plastic cases they have bought for packaging. Both the CDs and the cases are circular. According to the supplier, the plastic cases vary Normally with mean diameter μ = 4.2 inches and standard deviation σ = 0.05 inches. The CD manufacturer decides to produce CDs with mean diameter m = 4 inches. Their diameters follow a Normal distribution with σ = 0.1 inches.

(a) Let X = the diameter of a randomly selected CD and Y = the diameter of a randomly selected case.

Describe the shape, center, and spread of the distribution of the random variable X - Y. What is the importance of this random variable to the CD manufacturer?

(b) Compute the probability that a randomly selected CD will fit inside a randomly selected case.

(c) The production process actually runs in batches of 100 CDs. If each of these CDs is paired with a randomly chosen plastic case, find the probability that all the CDs fit in their cases.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92575773

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

There are 5 women and 8 men in a department how many ways

There are 5 women and 8 men in a department. How many ways can a committee be selected if there must be 2 men and 2 women on the committee? Number of ways to select a committee containing 2 men and 2 women is

One study based on responses from 1016 randomly selected

One? study, based on responses from 1,016 randomly selected? teenagers, concluded that 44?% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than h ...

Are us executives paid too much particularly compared to

Are U.S. Executives paid too much particularly compared to the average worker in their organization?

What can a continuum of elements in terms of strategic

What can a continuum of elements in terms of strategic planning mean to performance to small-medium enterprises?

A what is the purpose of credit analysis discuss the

(a) What is the purpose of credit analysis? Discuss the importance of performing a credit analysis if you are suppliers of credit (i.e., commercial banks, non-bank private financing entities).

In a sample of 41 temperature readings taken from the

In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the fre ...

Problem arrival of vehicles at new jersey turnpike toll

Problem: Arrival of vehicles at New Jersey Turnpike toll booth on Saturdays at dawn is modeled as a Poisson Arrival process with a rate of 1.21 vehicles per minute. Let X be a random variable that records the number of a ...

Introduction to statistics assignment - inferential

Introduction to Statistics Assignment - Inferential Statistics Analysis and Writeup Purpose: The purpose of this assignment is to develop and carry out an inferential statistics analysis plan and write up the findings. T ...

A medical researcher is interested in determining whether a

A medical researcher is interested in determining whether a new medication for lung cancer is effective in a group of patients with early-stage disease. Explain what a Type I and Type II error would be in this study. (Be ...

Question 1 assume you have noted the following prices for

Question: 1. Assume you have noted the following prices for paperback books and the number of pages that each book contains. Develop a least-squares estimated regression line. i. Compute the coefficient of determination ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert