Question: A U-shaped component is to be formed from the three parts A, B, and C. The picture is shown in Fig. 5-20. The length of

A U-shaped component is to be formed from the three parts A, B, and C. The picture is shown in Fig. 5-20. The length of A is normally distributed with a mean of 10 millimeters and a standard deviation of 0.1 millimeter. The thickness of parts B and C is normally distributed with a mean of 2 millimeters and a standard deviation of 0.05 millimeter. Assume all dimensions are independent.
(a) Determine the mean and standard deviation of the length of the gap D.
(b) What is the probability that the gap D is less than 5.9 millimeters?

Step by Step Solution

★★★★★

3.38 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

DABC a ED 10 2 2 6 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-S-J-P-D (92).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A three-digit number is to be formed from the digits 1 through 7, with no digit being used more than once. How many such numbers would be less than 289?

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. If one pregnant female is randomly selected, find the probability that her length...

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds. a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds....

Normal Distribution Functions Norm.dist(x, mean, stdev, c) - calculates the normal distribution for a given value of x, where mean and stdev are the descriptive statistics of the variable in...

informs Vol. 34, No. 3, May-June 2004, pp. 191-205 issn 0092-2102 \u0001 eissn 1526-551X \u0001 04 \u0001 3403 \u0001 0191 doi 10.1287/inte.1030.0068 2004 INFORMS Inventory Decisions in Dell's Supply...

A discrete sequence {xn} can be converted into a continuous representation x(t) = ts X n= (t n ts) xn, where ts is the sampling period. (a) State two characteristic properties of Dirac's function. [2...

1. A researcher wanted to get the percentage of college students that major in Business. The researcher got information from 5 colleges with a total of 11 thousand students and found that 1.5...

I need verification if my answers are right see page 14 of sample final and attached picture. Did I do it right or is the hedging options column wrong? UNIVERSITY OF MANITOBA Faculty of Management...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Lesson 12 Quiz (Show/Explain all Work) IST 230 Relations on Sets, Databases 1. Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8} and B = {1, 2, 3, 4, 5, 6, 7, 8}. Now let R be a binary relation R from A to B such...

List three policy rules that the Bank of Canada might follow. Which of these would you advocate? Why?

A power plant producing 120 MW of electricity has steam condition at boiler outlet as 100 bar, 500 C and the condenser pressure is 0.1 bar. The boiler efficiency is 90%. The boiler consumes coal of...

What is an example of a trading plan for a futures day trader

In 2016, Margaret and John Murphy (both over age 65) are married taxpayers who file a joint tax return with AGl of $26,500. During the year they incurred the following expenses: Medical insurance...

1. Why don't all companies treat their employees like Whole Foods does? Do you think they will in the future? 2. Can "eco-consciousness" effectively be incorporated into high-performance work...

On January 1, 2000, Pam Corporation held 2,000 shares of Sun Corporation common stock acquired at $15 per share several years earlier. On this date, Pam issued 1.5 of its $10 par value shares for...

Johnson, Inc. has just ended the calendar year making a sale in the amount of $10,000 of merchandise purchased during the year at a total cost of $7,000. Although the firm paid in full for the...

a Work out 158 46 b Use your answer to part a to write the answers to these multiplications i 15.8 46 ii 158 4.6 iii 15.8 4.6 iv 1.58 4.6 v 15.8 0.46 vi 1.58 0.046

Last year, you purchased a stock at a price of $53 a share. Over the course of the year, you received $1.6 in dividends and inflation averaged 2.8 percent. Today, you sold your shares for $53.9 a...

If the present value of an ordinary, 7-year annuity is $9,000 and interest rates are 9.0 percent, whats the present value of the same annuity due? (Round your answer to 2 decimal places. ) Present...

Kathy Smith, owner of Flower Power, operates a local chain of floral shops. Each shop has its own delivery van. Instead of charging a flat delivery fee, Smith wants to set the delivery fee based on...