Question: The probability density function of the length of a metal rod is f(x) =2 for 2.3 < x < 2.8 meters. (a) If the specifications

The probability density function of the length of a metal rod is f(x) =2 for 2.3 < x < 2.8 meters.
(a) If the specifications for this process are from 2.25 to 2.75 meters, what proportion of the bars fails to meet the specifications?
(b) Assume that the probability density function is f(x) = 2 an interval of length 0.5 meters. Over what value the density should be centered to achieve the greatest proportion of bars within specifications?

Step by Step Solution

★★★★★

3.29 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a PX 225 or X 275 PX 225 PX 275 because th... 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-C-R-V (9).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for 74.6 75.2) (c)...

The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x) = 2.0 for 49.75

Suppose the probability density function of the length of computer cables is f (x) = 0.1 from 1200 to 1210 millimeters. (a) Determine the mean and standard deviation of the cable length. (b) If the...

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

COMM 215: BUSINESS STATISTICS REVIEW PROBLEMS 1 Descriptive Statistics 1. The listing below gives the service window of A&W: 4.91 0.85 0.52 2.51 1.92 2.66 1.94 5.19 2.33 3.51 2.95 2.62 service times...

1. Calculate the sample size needed given these factors: one-tailed t-test with two independent groups of equal size small effect size (see Piasta, S.B., & Justice, L.M., 2010) alpha =.05 beta = .2...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

This question is similiar to https://www.coursehero.com/tutors-problems/Management/27083519-Chairvana-Inc-manufactures-metal-tables-and-chairs-at-its-plant-in-Pa/ Lawnvana's Broadcast Spreader...

4.4 Understanding the Principles 4.1 4.2 What is a random variable? How do discrete and continuous random variables differ? Applying the Concepts Basic 4.3 4.4 4.5 4.6 Type of Random Variable....

Please #1, 5, 7, 13, 15, 17, 19, 21 18 Find the average value of the function on the given interval. 15. Find the average value of f on [0. 8]. tJm=W+m[4 ZWFJM] 3. g(x) = 3 cos I. [1r/2. 1T/2J elf:...

The company is considering manufacturing designer desk lamps and you must estimate the cash flows from the project and apply capital budgeting tools to determine if the project is a value-creating...

Outsourcing and ethics Hollenberry, Inc., is a successful mail-order catalog business with customers worldwide. The companys headquarters is in a small town some distance from any major metropolitan...

P 1 5 - 1 7 Partnership Formation, Operation, and Changes in Ownership LO 1 5 - 3 , 1 5 - 4 , 1 5 - 5 , 1 5 - 6 The partnership of Jordan and ONeal began business on January 1 , 2 0 X 7 . Each...

The following information relates to the 2017 debt and equity investment transactions of Wildcat Ltd., a publicly accountable Canadian corporation. All of the investments were acquired for trading...

Satchel Inc. purchases 10,000 shares of its own previously issued $10 par common stock for $290,000. Assuming the shares are held in the treasury with intent to reissue, what effect does this...

An AMT liability results if the tentative minimum tax (TMT) exceeds the regular income tax liability. But what happens if the regular income tax liability exceeds the TMT? Does this create a negative...

Use the following data to calculate Chiara's 2016 AMT base. Chiara files as a single taxpayer and itemizes her deductions. Taxable income .........................................$148,000 Positive...

Open Oxford Current News. pdf, a portfolio of current news releases from Oxford Cereals. Review the relevant press releases and supporting documents. Then answer the following questions: 1. Are the...

Copy and complete the workings to find the circumference of each circle. Use = 3.14. Round your answers correct to 1 decimal place (1 d.p.). a diameter = 6cm C=d b diameter 25 cm C diameter 4.25m...

Gilbert uses a sample size of 25. Sullivan uses a sample size of 100. Gilberts estimated SD for p will be ________ times as large as Sullivans.

As n increases, the SD for p ________________ (increases, decreases) more and more ______________ (slowly, quickly).

You have an ordinary six-sided die, but you suspect it may be loaded. If the die is fair, then the probability of rolling a 6 equals 1/6. a. Let = the probability of rolling a 6. To estimate to...

Usinh excel solver functiin to answer this question. 4. In the following assume that the CAPM holds and Coca-Cola and Netflix constitute the whole market. a. Calculate three Market Portfolios using...

Screenshots 2 and 5 include two respectively, as the graphs did not fit in one screenshot. In total, there are 10 screenshots that need solving. I DO NOT NEED ANY EXPLANATIONS! ONLY ANSWERS. As so,...

160 people are asked how many siblings they have? # of Siblings Frequency Relative Frequency Cumulative Frequency 0 27 0. 1688 25 0. 1563 52 2 38 0.2375 90 Proctor 0.2938 137 4 23 160 a. Complete the...