Exercise 9. Suppose that the lifespan (in years) of a water heater is modeled as Y - Expon(mean =8).(a) Given that the unit is working at 3 years, compute the chances it will fail in the next year.(b) Given that the unit is working at 18 years, compute the chances it will fail in the next year.(c) Comment on the reasonableness of this Exponential model.

Answered: Exercise 9. Suppose that the lifespan…

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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10. The population of the state of Utah was recently estimated to be 3.1 million. Using information from the last Census, an exponential model for the population of the state of Utah is: Q = 3.1 (1 + .017) a) Use the model to predict the population of Utah in 20 years. b) Currently, the developed water resources in Utah can supply up to 4 million people. Comment on the validity of the population model.
The number of cases within 3 days due to coronavirus is as follows: 21 May 2020: 961 New Case 22 May 2020: 952 New Case 23 May 2020: 1186 New Case 1a) Calculate the growth rate according to this information and express this variable as X = Aert. 2a) Using the answer 1a, Make a prediction for the previous and next day of the end date you use in your calculations.
Which of the following functions exhibits exponential decay? A (=) = (4)° fa (a) = 2" fa (2) = (-2)° fa (2) = 2-3
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4. A quantity of a radioactive element decays exponentially. On the 20th day of observation the amount of the radioactive element became twice smaller compare to the initial amount. On the 10th day of the observation the amount of the element was 50mg. Find: (i) the initial amount of the radioactive element; (ii) how many days is required in order initial one. have an amount that is ten times smaller than the
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A study of Maryland's portion of Chesapeake Bay found the following information about stocks of market-sized oysters.† In 1994, the stocks were 218 million. (This is the number you will use for the initial population N(0).) The carrying capacity is 5089 million oysters. The intrinsic exponential growth rate is 0.274 per year. (a) Find a logistic model N(t) for the number, in millions, of market-sized oysters. Take t to be the time in years since 1994. (Rround all regression parameters to three decimal places.) N(t) = (b) Plot the graph of the model you found in part (a) over the first 20 years. (c) How many market-sized oysters does your model predict for 2007? Round your answer, in millions, to the nearest whole number. million oysters (d) The actual number of market-sized oysters was found to be 82 million. Use the Internet to find possible explanations for the reduced levels of oysters in Chesapeake Bay.

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