Following an exponential distribution, the average lifespan of a smartphone battery is 2.3 years. The battery manufacturer wants tooffer a warranty for its customers to receive a free replacement if the battery fails during the first year. Each battery generates a profitof $10.85, and the replacement cost is $6.35. Use Excel's Analysis ToolPak, with a seed of 1, to develop a Monte Carlo simulation forthe lifespan of 100 batteries.a. What is the expected total cost of this warranty program?Note: Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.> Answer is complete but not entirely correct.The expected total cost of the warranty program for every 100 batteries sold $-190.50 xb. In order to cover the cost of the warranty program, how many additional battery units does the company need to sell?Note: Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.> Answer is complete but not entirely correct.Additional batteries the company needs to sell for every 100 batteries currentlysold0.35 x

Following an exponential distribution, the average lifespan of a smartphone battery is 2.3 years.…

Answered: Following an exponential distribution,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You collect data of average annual returns for Amazon Stock and Microsoft Stock and make the following table: (This data can be copied into Excel.) Year Amazon Return Microsoft Return 2013 0.5896 0.1221 2014 -0.2218 0.2416 2015 1.1778 0.1944 2016 0.1095 0.1200 2017 0.5596 0.3766 2018 0.2843 0.1874 2019 0.3216 0.5526 You use this data to answer the research question: are true population Amazon Returns greater than true population Microsoft Returns?
The ABC Company is involved in the production and selling of consumer goods, particularly beauty products such as bath soap and shampoo and had registered a positive profit growth for the last 10 years. However, the current year seems to be different from those years as the company is expecting a decline in profit; which is estimated to be about 70% below the target. The manager now is in a dilemma … asking himself/herself “What happened, why this decline in profit?” The Manager then asked the company Accountant to give him/her the data on sales and advertising cost for the last 10 years – he/she wants these data to determine whether the company can live without advertising, as advertising cost happens to be substantial. Justify your answer by doing as step-by-step procedure in Correlation Analysis using a 0.05 level of significance. The data are as follows –
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 80 stocks traded on the NYSE that day showed that 11 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.02α=0.02.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…
the table shows the percent of households with internet access for selected years from 2009 and projected through 2015. Year Percent of households 2009 67 2010 70 2011 72.5 2012 75 2013 76.5 2014 77.2 2015 78 Use the model to predict the percent of households with internet access in 2022.
If actual period demand varies from the forecast by more than 3MAD, this indicates: there is 3% chance that the forecast is wrong. there is a 98% chance that the forecast is wrong. there is a 97% chance that the forecast is wrong. there is a 3% chance that the forecast is correct Moving to the next question prevents changes to this answer:
Stock Market Listed on the top of the next page in order by row are the annual high values of the Dow Jones Industrial Average for each year beginning with 1990. Find the best model and then predict the value for the year 2014 (the last year listed). Is the predicted value close to the actual value of 18,054?
Q3.25
In a certain year, it was estimated that 1,000,000 of the 307,000,000 residents of the United States are HIV-positive. (HIV is the virus that is believed to cause AIDS.) The Repeatedly Reactive Immunoassay (RRIA) diagnostic test correctly diagnoses the presence of AIDS/HIV 99.7% of the time and correctly diagnoses its absence 98.5% of the time. (Round your answers to four decimal places.) (a) Find the probability that a person whose test results are positive actually has HIV.(b) Find the probability that a person whose test results are negative does not have HIV.(c) Find the probability that a person whose test results are positive does not have HIV.(d) Find the probability that a person whose test results are negative actually has HIV.(e) Which of the probabilities would you be interested in if you or someone close to you tested positive? the probability that a person whose test results are positive actually has HIVthe probability that a person whose test results are negative does not…
A family purchases a 2000 square foot home and plans to make extensions totalling 500 square feet. The house currently has a pool, and a real estate agent has reported that the house is in excellent condition. However, the house does not have a view, and this will not change as a result of the extensions. According to the results in column (1), what is the expected DOLLAR increase in the price of the home due to the planned extensions?
Assuming that cars arrive at a toll, on average, every 0.5 minutes, and the toll has only one payment window, and both the time between arrivals and the time between calls follow an exponential distribution. The toll attendant takes an average of 0.3 minutes to collect. Calculate the system performance measures, ie the car arrival rate and the toll service rate.
A school board has a plan to increase participation in the PTA. Currently only about 22 parents attend meetings. Suppose the school board plan results in logistic growth of attendance. The school board believes their plan can eventually lead to an attendance level of 66 parents. In the absence of limiting factors the school board believes its plan can increase participation by 10% each month. Let m denote the number of months since the participation plan was put in place, and let P be the number of parents attending PTA meetings. (b) Find the constant b for a logistic model. b = (c) Find the r value for a logistic model. Round your answer to three decimal places. r = (d) Find a logistic model for P versus m. P =
Arbor Systems and Gencore stocks both have a volatility of 44%. Compute the volatility of a portfolio with 50% invested in each stock if the correlation between the stocks is 0.00. If the correlation is 0.00, the volatility of the portfolio is%. (Round to one decimal place.)

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