Question: A U-shaped component is to be formed from the three parts A, B, and C. See Fig. 5-18. The length of A is normally distributed

A U-shaped component is to be formed from the three parts A, B, and C. See Fig. 5-18. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thickness of parts B and C is normally distributed with a mean of 2 mm and a standard deviation of 0.05 mm. Assume that 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 mm?

Step by Step Solution

★★★★★

3.50 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

D A B C a ED 10 2 ... 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

Students Have Also Explored These Related Applied Statistics and Probability 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 durations of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If we stipulate that a baby is premature if the length of pregnancy is in the lowest...

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...

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...

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...

A U-shaped assembly is to be formed from the three parts A, B, and C. The picture is shown in Fig. 3-42. The length of A is normally distributed with a mean of 10 millimeters and a standard deviation...

After reading the article, do you see the importance of understanding misconceptions? Do you see how students are getting told different things? How will you change this problem as a future math...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

Instructor: Basu Dipanker Course: MAT-240-Q6622-16EW6 Assignment: 6-2 MyStatLab: Module Six Problem Set 1. Determine whether the scatter diagram indicates that a linear relation may exist between the...

If a brand of chips is 5 % fat by weight, what mass of fat in grams is expected in a 25 gram sample of these chips? Show clear work to support your answer.

In what ways are yellow fever and dengue fever similar? In what ways do they differ?

What would be the average tax rate for a person who paid taxes of $ 9 , 3 4 6 on taxable income of $ 7 3 , 4 2 0 ? Note: Enter your answer as a percent rounded to 3 decimal places.

28.2 Hypothetical Question with Sample Answer. Paul Gett is a well-known, wealthy financial expert living in the city of Torris. Adam Wade, Getts friend, tells Timothy Brown that he is Getts agent...

A population has a mean of 250 and a standard deviation of 47. Calculate z scores for each of the following raw scores: a. 391 b. 273 c. 199 d. 160

What is the difference between a null hypothesis and a research hypothesis?

Create a histogram for these three sets of scores. Each set of scores represents a sample taken from the same population. a. 6 4 11 7 7 b. 6 4 11 7 7 2 10 7 8 6 6 7 5 8 c. d. What do you observe...

In practice, a common way to value a share of stock when a company pays dividends is to value the dividends over the next five years or so, then find the terminal stock price using a benchmark PE...

Texas Instruments (TI) designs and manufactures semiconductor products for use in computers, telecommunications equipment, automobiles, and other electronics based products. The manufacturing of...

Johnson last month (December) sales were 20,000 units @ $50. The company estimates an increase of 1.5% in sales for January. An increase of 200 units for February (compared to January) and a...