Question: A cable is made up of four wires. The breaking strength of each wire is a normally distributed random variable with mean 10 kN and

A cable is made up of four wires. The breaking strength of each wire is a normally distributed random variable with mean 10 kN and standard deviation 1 kN. The strength of the cable, using the brittle wire method, is estimated to be the strength of the weakest wire multiplied by the number of wires.

a. Use simulated samples of size 1000 to estimate the mean strength of this type of cable.

b. Estimate the median cable strength.

c. Estimate the standard deviation of the cable strength.

d. To be acceptable for a certain application, the probability that the cable breaks under a load of 28 kN must be less than 0.01. Does the cable appear to be acceptable? Explain.

Step by Step Solution

★★★★★

3.42 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 36 b 36 c 28 d Yes the ... 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 Statistics Engineers Scientists Questions!

A cable is made up of several parallel strands of wire. The strength of the cable can be estimated from the strengths of the individual wires by either of two methods. In the ductile wire method, the...

A random sample of cable from three different manufacturers is tested for breaking strength. The data (in pounds) are shown. At Î± = 0.05 is there a difference in the breaking strength...

If X is a normally distributed random variable with mean -61 and standard deviation 22, find the value such that the probability that the random variable will be above it is 0.25.

Good evening, I need answers to these questions please. I write fantastic reviews. Also if you need to use your calculator or an excel sheet please use what you need. 1.) Part 2? Check our blood...

Mechanical Engineering Department ME 406 Manufacturing and Design First Semester 2017 (Term-171) HOMEWORK # 2 (Engineering Statistics) Assigned by: Dr. Anwar K. Sheikh/Dr Numan Abu Dheir Assigned on...

1A distribution center for a chain of grocery stores has determined that the total amount of time (in hours) required to fill an order from a store and load the order onto a truck for shipping is a...

STATISTICS AND PROBABILITY (i need help with these questions please) The highest grade for Florida oranges is U.S. Fancy and is based principally on color. Suppose that Shannon owns a small organic...

Instructions for Students: Answer ONLY part a in Question 4. Questions carry equal marks. You have to show the work to earn marks. Answers must be uploaded on Moodle under Assignment II. Unless...

Hi, Could you please answer the following questions with ALL WORKING? I really focused on the working out of the answers. P ractice Questions 1 1.If the random variable X is normally distributed with...

STAT 200 Week 4 Homework Problems 6.1.2 The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of eight...

Refer to Exercise 11.27. a. Compute the value of the F statistic and the associated p- value. b. How do the p- values for this F statistic and the t test of Exercise 11.28 compare? Why should this...

Big Brass Photo Shop has asked you to determine whether the company's ability to pay current liabilities and total liabilities improved or deteriorated during 2024 To answer this question, you gather...

8 A model rocket was launched, and measurements of its height and horizontal distance from the launch pad were taken, as shown in Table 11.4. a Plot the flight path of the model rocket from these...

=+ 4.11. Using Theorem 3.3, verify that lim P(D, >1.07/n) = 0.20 18-10

Someone constructs an X chart where the control limits are at 2.0 X rather than at 3 X . a. If the process is in control, what is the ARL for this chart? b. If the process mean shifts by 0.5 X , what...

Repeat Exercise 3, using the S chart in place of the R chart. Repeat Exercise 3 The means are X = 2.505, R = 0.1395, and s = 0.057. a. Calculate the 3 control limits for the R chart. Is the variance...

Copper wires are coated with a thin plastic coating. Samples of four wires are taken every hour, and the thickness of the coating (in mils) is measured. The data from the last 30 samples are...

Income Statement For the Year Ended on December 3 1 \ table [ [ , J&H Corp.,Industry Average ] , [ Net sales,$ 1 5 , 0 0 0 , 0 0 0 , $ 1 8 , 7 5 0 , 0 0 0

a . Construct the current balance sheet for the firm using the projected sales figure. ( Do not round intermediate calculations and enter your answers in dollars, not millions of dollars, rounded to...

6. Estimate the value of the stock using two different models using your calculated estimates (you must provide the models used from text or used in class and show your calculations). 7. Estimate the...