Example 3.6Assuming that the life of a given subsystem, in the wear-out phase, is normallydistributed with uan operating time of 500 hours given that (a) the age of the component is 9,000hours, (b) the age of the component is 11,000 hours.10,000 hours and o =1,000 hours, determine the reliability forCS Scanned with CamScanner

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Answered: Example 3.6 Assuming that the life of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2012 2010 2012 2014 2016 336.5 363.5 398.1 Year CO, Emissions 2018 424.8 451.1 Year 2022 2024 2026 2028 2030 Co, Emissions 559.2 591.9 628.7 665.1 707.1 2020 2032 743.7 Using x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions, write the equation of the linear function that models these data. (Round all numerical values to two decimal places.) Hint: Let x 0 in 2010. y(x) =
Let qty denote quantity demanded, price denote price, and suppose we estimate the model log(qty) = ß1 + B2 log(price)+ e where E[e| log(price)] = 0 and we assume e is homoscedastic so Var(e| log(price)) = o². In the data, we find E- log(price,) = 0, b1 = 2.5, b2 = 0.9, Var (bj) = 1, and Var (b2) = 0.1. Suppose we are interested in estimating a = B1 + 10B2 and for this end we use the estimator å1 = b1 + 10b2. What is your estimate for the variance of A? (Usually denoted by Var (Â)) O a. We do not have enough information to compute Var (Â). O b. All the other options are incorrect. О с. 10 O d. 11 Ое. 1 O f. 2
Q.4. Annual depth of precipitation X (cm) is assumed to be lognormally distributed with u-50, o=10. What is the probability of the precipitation to remain in the range of 45 and 62 cm?
QUESTION 6 As the Operation manager at Giant Wholesale, you want to improve the inventory for the finished goods. The company is always having a shortage problem in product A. To analyse this product A inventory, you have collected the data as below: i)Average demand per day = 80 units ii)Working days per year = 300 days iii)Ordering cost = RM40 per order iv)Annual carrying (holding) cost rate = 10% of item cost v)Cost of product A per unit = RM150 vi)Lead time = 5 days vii) Standard deviation of daily demand= 5 units viii) Customer service level = 95% Based on the data given above, answer the following questions: a) Compute EOQ. b) Compute the annual total inventory cost. c) Based on a continuous review system (Q System), determine the optimal order quantity Q, and reorder point (R). d) Based on the periodic review system (P System), determine the period review interval (P) and target inventory level (T).
6. A home improvement store carries two models of power drills. Lifetime (i.e., time to failure) of Model 1 drills are exponentially distributed with a rate of of 0.15 failures per year, whereas Model 2 drills have a lifetime that is log-normally distributed with parameters u = 0.75 and o = 1.2. (a) Which model of power drill is more likely to fail within a year? (b) Which brand produces cables that are more likely to last at least 2 years? (c) Which model of power drill has longer expected lifetime?
What was the maximum sustained yield under the logistic harvest model when k=500 and r=0.4? Values 1 500 1000 49L K L N N.d num [1:601] 0 123456789... num [1:50] 5 157.502 1079.678 0.732 24.054 ... num [1:50] 114 329 349 350 350 ... 0.4 int [1:50] 1 2 3 45678910 50 t Nt r Z Z L P T time y Files Plots Packages Help Viewer Presentation Zoom Export num [1:601] 0.4 0.399 0.398 0.398 0.397 ... Publish Observed Growth Rate 69 -0.1 0.1 0.3 0.5 Observed Growth Maximum Growth Carrying Capacity 0 100 200 300 400 500 600
10.23. Question. An umbrella-shaped island has a population of 499 healthy people. Alice, who is injected with the T-virus, enters the island on day 0. It is known that anyone infected with the T-virus will become a zombie after 24 hours. Assume that the infected (zombies are considered infected) will spread the virus (through biting) and no one on this island can escape from it. The rate of virus transmission is proportional to the product of the number of infected and non-infected. Thus, if x(t) denotes the number of the infected on day t, then dx dt = kx(500 — x). On day 10, it is observed that 20 people are already infected. Answer the following questions. (a) How many zombies are on the island on day 16? (b) On day 20, how many people are infected but not yet turned into a zombie? (c) A rescue boat with 50 available seats is to be sent to the island. What is the earliest day the boat should be sent to ensure it can rescue all survivors (those not infected)?
A quality control team studies the relationshipbetween years of experience (x) for individualdesign employees and ability to complete acomplex project within a certain time frame (y),where Y = 1 if the project is successfullycompleted, and Y = 0 if not. We know: b0 = −1.68and b1 = 0.12.a) Write the estimated logit function.b) Estimate the odds that a design employeewith 10 years of experience completes thecomplex project.c) Find and interpret the estimated odds ratiofor this model.
How would you write down a linear univariate model in which turnover, T, depends on assets, K, and an error term, u? Select one: log T = a + bxK+u T= a + bxK+u log K = a + b x log T + u T= a + b/K+u log T = log a + u
12 The annual usage time of the device whose failure time follows the exponential distribution is 1,000 hours. What is the average life expectancy required to be designed to adjust the annual failure rate of this device to within 5%?

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