Consider the gamma failure time distribution with = 2 and = 1 given by the

Question:

Consider the gamma failure time distribution with α = 2 and β = 1 given by the density function

a. Find F(t). ∫te^-t dt = -te^-t + ∫e^-t dt

b. Find expressions for the reliability R(t) and the hazard rate z(t).

c. Use the results of part b to find R(3) and z(3). Interpret these values.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

See More Books

Question Posted: Apr 23, 2021 07:19 AM

See More Questions

A component has a lognormal failure time distribution with parameters = 2.5 and = 1.5. (a) What is the probability that the component is still operating at time 40? (b) What is the probability that...
A component has a lognormal failure time distribution with parameters = 3.0 and = 0.5. (a) What is the probability that the component is still operating at time 50? (b) What is the probability that...
A certain component has an exponential failure time distribution with mean = 3 hours. a. Find the probability that the component will fail before time t = 2 hours. b. What is the reliability of the...
Translate the seven steps to Java code.
Would you use family branding or individual branding for each of the following product categories? Defend your answer.
Question 3: Corporate Governance & Ethics (b) For each of the following ethical situations consider the fundamental principles of professional behaviour and: - identify the fundamental principle at...
In general, do timing options make it more or less likely that a project will be accepted today? AppendixLO1
What should Willie do? It was late October of 2009, and Willis Willie Stahe was running late. As president of Midwest Universitys Computing and Information Systems student club, he had helped...
eBook Show Me How Calculator Print Item Entries for issuing Par Stock On October 31, Legacy Rocks Inc., a marble contractor, issued for cash 150,000 shares of $8 par common stock at $12, and on...
Fourth-Sixth-Twelfth Bank currently pays an annuall dividend of $1.40 per share. After extensive analysis, you forecast that the Bank's stock will continue to pay the $1.40 dividend for four years....
Consider the uniform failure time distribution given by the density function a. Find F(t), R(t), and z(t). b. Graph the hazard rate z(t) for t = 0, 1, 2, . . . , 5 when = 10. c. Compute the...
Consider an electrical circuit consisting of two sub circuits, the first of which involves components A, B, and C in parallel and the second of which involves components D and E in parallel. Suppose...
What does it mean if a bond is "callable"?(Appendix)
How have you maintained your medical billing skills over the past 12 months? Include any courses or learning opportunity you used to build your current knowledge base. How did these skills help you?...
1. What issues does Bob Holland face as he takes over as CEO of Ben & Jerry's? Which are the most important? 2. Where is the market headed? What are the competitive influences and compare the...
Do you think there is a difference between diversity management and affirmative action? Provide an explanation for your response. Support your response with APA cited references. Response: Diversity...
1. In what ways do practical and statistical significance work together to help us understand program effects? Can one be important to aprogram evaluator withoutthe other? If so, how? If not, why...
How do IT metrics, measurements, productivity, and efficiency work together? Make sure you explain each word.Make sure to pick out two or three specific IT data and measures. Also, back up what you...
Kellerstone Ltd buys used machines which it reconditions and sells on to customers. The company's inventory at the end of its most recent accounting period included the following machines: Selling...
You purchase a bond with a coupon rate of 6.7 percent, a par value $1,000, and a clean price of $905. Assume a par value of $1,000. If the next semiannual coupon payment is due in two months, what is...
Why does the solubility of a salt of a basic anion increase with decreasing pH? Write chemical reactions for the minerals galena (PbS) and cerussite (PbCO 3 ) to explain how acid rain mobilizes...
Considering just acid-base chemistry, not ion pairing and not activity coefficients, find the pH and concentrations of species in 1.00 L of solution containing 0.020 mol arginine, 0.030 mol glutamic...
A solution containing 0.139 mmol of the triprotic acid tris(2-aminoethyl)amine 3HCl plus 0.115 mmol HCl in 40 mL of 0.10 M KCl was titrated with 0.490 5 M NaOH to measure acid dissociation...
The following information is provided by Garden Gears for a new product it recently introduced: Total unit cost $50 Desired ROI per unit $22 Target selling price $72 How much is Garden Gears'...
Solid bank loan P5 million to a borrower on January 1, 2018. The terms of the loan require principal payments of P1 million each year for five years plus interest at 8%. The first principal and...
3) Assuming annual sales of $250,000 and a 50% gross (contribution) margin, calculate the following a. Average collection period if ending receivables total $45,000 b. Ending days-on-hand of...

Consider the gamma failure time distribution with = 2 and = 1 given by the

Question:

|te 0st<0 f(1) %3D elsewhere

Step by Step Answer:

Statistics For Engineering And The Sciences

Students also viewed these Engineering questions