Example #4IMSEIndurtrial-Monufact-Systams EngineeringA component has the following linear hazard rate, where t is inyearsa(t) = 0.4t,t > 0a) Find R(t) and determine the probability of a componentfalling within the first month of its operationb) What is the design life if a reliability of .95 is desired?

Given: λ(t)=0.4 tt is in years

Answered: A component has the following linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Consider the following simple relationship between aggregate savings St and aggregate income Yt: St= a + BYt + εt, t = 1, ..., T. For some country this relationship is estimated by OLS over the years 1956-2005 (T = 50). The results are given below: = Variable Coefficients Constant 38.90 Y 0.098 22.57, R² = 0.93, DW = 0.70 Standard error 4.57 0.009 where ô is the standard error of regression, R² is the multiple correla- tion coefficient, and DW is the Durbin-Watson statistic. (a) Explain why the result indicate that there may be a problem of positive autocorrelation. Can you give arguments why in eco- nomic models positive autocorrelation is more likely than nega- tive one?
2
Find the average rate of change of k(q) = 1. on the interval between q = 1 and q = 3. 2-q- +3
7. When a 0.01, the critical values are %3D A. ±1.65 B. +1.96 C. +2.33 D. +2.58 Scanned with CamScanner
6 Answer Question 27-30 based on the information given below: Y 14.3113 + 0.5711X₁ r² = ( ) ) (1.7721) n = 45 se = ( t (11.1688) ( ) RSS 17.8922; TSS = 170.4713 Where Y, is the Gross National Product ($, in billions) and X, is the money supply ($, in billions) 27. What is the standard error for the intercept (b,)? A. 3.2362 B. 1.2814 C. 0.3223 D. 0.0362 28. CONFIDENTIAL What is the t-statistics for the slope coefficient (b₂)? A. 3.2362 B. 1.2814 C. 0.3223 D. 0.0362 CONFIDENTIAL 29. 30. A. 0.8551 and ±0.9247 B. 0.8950 and +0.9461 5/10 C. 0.9488 and +0.9740 D. 0.9961 and ±0.9981 5/10 What is the coefficent of determination and coefficient of correlation for the regression model? BT22203 BT22203 A. Yes, because absolute value of t-statistics is larger than t-critical B. Yes, because absolute value of t-statistics is smaller than t-critical C. No, because absolute value of t-statistics is larger than t-critical D. No, because absolute value of t-statistics is smaller than t-critical At 5…
The logarithm of the ratio of the output to the input current of a transistor is called its current gain. If cur-rent gain measurements made on a certain transistor are normally distributed with μ = 1.8 and σ = 0.05, find theprobability that the current gain will exceed the requiredminimum value of 6.0.
Vanessa has a utility function for income given by U(I) = VI %3D (that is the square root of income). Because of the nature of her utility function, we know that Vanessa is risk averse. Vanessa is considering an investment that would give her an income of $10,000 with a probability of 0.5 or an income of $15,000 with a probability of 0.5. The expected utility of this investment is (rounded to 2 decimal places): O A. 111.24 O B. 113.48. O C. 118.35. O D. 125.00.
5. You invest to maximize utility: U = a, -A o. You have an information ratio of 0.5, and a risk aversion parameter, 2, of 12 (in decimal units per year). So, for example, an alpha of 3%, and a risk of 5%, would lead to utility of zero.
The following Table summarizes the main estimation results for the below model: C- Bo + B,R + Balet E.where (C) denotes total household Consumption in SL, (R) is the national Incorme, and (1) denotes the Taxes collected from the private sector. The time span goes from 1974, 1st quarter, to 2010, 4th quarter and all the variables are expressed in million Rupees. Dependent variable C Constant R. Coefficient Sd. Eror t-statisties 128 40 3.2 0.90 0.48 0.67 6.0 32 0.15 0.15 R squared Residual Std. 1.35 Deviation Given the information in above table and the null that the Given the information in above table and the null that the Taxes collected from the private sector (B2) is not equal to zero, O a. There is not enough information to test this hypothesis. O b. The test statistic can be computed and the null is rejected in favor of the alternative hypothesis with a 5% significance. O . None cof the these O d. The test statistic can be computed and the null is not rejected in favor of the…
Suppose you obtain the following regression model, E[y]=91+79*x1 +20*x1*x2. What is the impact of a 39 unit change of x1 on the expected value of y when x2 is at its mean of 40?
B1
the sales revenue of a new mobile phone model is found to follow an AR(1) process, as shown below. what is the 3-lag AČF value? Xt =0.7*xt-1+Wt 0.700 .0.343 0.490 0.240

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

A component has the following linear hazard rate, where t is in years a(t) = 0.4t, t2 0 a) Find R(t) and determine the probability of a component falling within the first month of its operation b) What is the design life if a reliability of .95 is desired?