ZuoTi.Pro
Question

please to refer to the question in tThe amount of stored water in a reservoir may be idealized into three states: full (F), half-full (H), and empty (E). Because of the probabilistic nature of the inflowing water into the reservoir, as well as the outflow from the reservoir to meet uncertain demand for water, the amount of water stored may shift from one state to another during each season. Suppose that these transitional probabilities from one state to another are as indicated in the figure below. For example, in the beginning of a season, if the water storage is empty, the probability that it will become half-full at the end of the season is 0.5 and the probability that it will remain empty is 0.4 and son on. Assume that the water level is full at the start of the season. - What is the probability that the reservoir will be full at the end of one season? What is the probability that the reservoir will contain water at the end of one season? - What is the probability that the reservoir will be full at the end of the second season? What is the probability that the reservoir will contain water at the end of the second season? 0.1 0.4 Half-Ful 0.7 0.4 0.3 0.2 0.Ihe image

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Answer:

The transition probability for F -F is 0.2. This is the probability of the reservoir being fill after one transition F E 0.1 So prob of reservoir being empty 0.1 Prob of being non-empty 1 - probe of being empty 1 - 0.1 0.9 The 2 step transition probabilities are: FFF, F>HF, FEF Prob of FF-> F 0.2 0.2 0.04 Prob of F->H-> F 0.7 * 0.4 0.28 Prob of F->E->F 0.1 *0.1 0.01 Sum of all 3 prob 0.33First find the 2-step transition prob from F to E The cases are FFE,FEE, F H E Prob of F->F->E 0.2*0.1 0.02 Prob of F-> E-> E 0.1 * 0.4 0.04 Prob of F->H->E 0.70.5 0.35 The sum of all three cases 0.41 This is the 2-step probability of no water in reservoir 0.41 So, 2 step probability of water in reservoir 1 0.41 0.59

0 0
Add a comment
Know the answer?
Add Answer to:
please to refer to the question in the image The amount of stored water in a...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Probelm 5 not 4. Please pay attention to the method. 4. Reservoir storage at a water-rich...

    Probelm 5 not 4. Please pay attention to the method. 4. Reservoir storage at a water-rich location is summarized in a Markov transition probability matrix, modeling four discrete states and their transition from one month to the next. The four states are "empty," "low," "medium," and "ful If the present supply is "low," calculate the expected time to become "full. Separately, calculate the probability that it will become "empty" before it becomes "ful" Use absorbing state methods from Ang &...

  • please to find the question in the image. thank you The water supply system for a...

    please to find the question in the image. thank you The water supply system for a city consists of a storage tank and a pipe line supplying water rom a reservoir some distance away. The amount of water available from the reservoir is ariable depending on the precipitation in the watershed (among other things). Consequently, he amount of water stored in the tank would be also variable. The consumption of water also luctuates considerable. To simplify the problem, denote A-available...

  • L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe...

    L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe with a maximum velocity (turbulent profile) of 0.3 meters/sec. The pipe then goes through an expansion, to where it is then flowing in a 0.5 meter-diameter pipe, and the flow regime has changed from turbulent to laminar. In the second section of pipe, calculate the velocity as (a) block flow profile (Vavg), and (b) maximum velocity in laminar flow profile? HINT: you will need...

  • Environmental Engineering Problems: The following prolems ar engineering and risk assessment. Read each problem carefully and...

    Environmental Engineering Problems: The following prolems ar engineering and risk assessment. Read each problem carefully and show information needed to solve the problems is provided in each supplemental information section at the end of the exam. To receive full credit, please clearly state your rationale and assumptions; include diagrams where appropriate. related to water resources I your work. The statement and in the problem と points) Use a hydrologic mass balance to solve the following: A small watershed is approximately...

  • 9.25. A pumping station consists of a pump, a long pipe, and a tank with an...

    9.25. A pumping station consists of a pump, a long pipe, and a tank with an outflow valve as shown in Fig. 9.44. The goal is to design the system so that there will be no overshoot in the depth of fluid in the storage tank resulting from transient changes in the pump pressure Pp) Tank Valve Long pipeI atm Pump Fluid reservoir Figure 9.44: A fluid pumping statio (a) Assume the pipe resistance can be neglected and that the...

  • Help with thermodynamics basics? Due at midnight, please help! refer to a cup which contains water...

    Help with thermodynamics basics? Due at midnight, please help! refer to a cup which contains water at room temperature. The cup is perfectly insulated so that no heal can transfer into or out of the cup. A small coffee cup heater inside the cup is used to transfer heat to the water. The water does not boil. If heat is transferred to the cup at a steady rate, which of the graphs below best represents the shape of the graph...

  • please help Question 23 (1 point) ✓ Saved The molar heat of vapourization of water is...

    please help Question 23 (1 point) ✓ Saved The molar heat of vapourization of water is 42 kJ/mol. How much energy is released by the condensation of 3.0 g of water? 130KJ 0.88K) 7.OKJ 250KJ Consider the following systems: I. A container is half-filled with alcohol, stoppered and allowed to stand for several days. II. Crystals of KMnO4 are dissolved in water until the water becomes a uniform purple colour and a constant amount of crystal remains in the container....

  • please to see the question in the image. thank you The waste from an industrial plant...

    please to see the question in the image. thank you The waste from an industrial plant is subjected to treatment before it is ejected to a nearby stream. The treatment process consists of three stages, namely, primary, secondary, and tertiary treatments. The primary treatment may be rated as good (G) incomplete () or failure treatment may also be rated as equally likely (for example, the primary treatment will be equally likely to be good or incomplete or failure). Furthermore, the...

  • QUESTION 1 Most taxpayers may deduct the standard deduction amount or the amount of their itemized...

    QUESTION 1 Most taxpayers may deduct the standard deduction amount or the amount of their itemized deductions, whichever is higher. True False 1 points QUESTION 2 If a taxpayer is due a refund, it will be mailed to the taxpayer regardless of whether he or she files a tax return. True False 1 points QUESTION 3 Schedule 1 of Form 1040 is used to report: a. Joint return status. b. Salary income. c. Self-employment income. d. Withholding on wages. 1...

  • EI. A Watched Pot... When heating water on a stove, a full pan of water takes...

    EI. A Watched Pot... When heating water on a stove, a full pan of water takes longer to reach the boiling point than if the pan is half full. Why? Explain using the appropriate formula. E2. A Pressing Matter! We viewed a video of Rodrigo smacking the top of a bottle full of water with his palm. Then, the BOTTOM of the bottle broke and the water rushed out. WHY? did this happen? a. (10) Name and State the important...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT