Question

The demand for water from a certain city (in millions of gallons) follows an exponential distribution...

The demand for water from a certain city (in millions of gallons) follows an exponential distribution with a lambda = 1/8.
A. If water resource capacity is 10 million gallons. What is the probability of in one day any supplies are insufficient?
B. In the next ten days, what is the probability that we will have water shortages in exactly two days?
C. If an inspector arrives, and every day checks for water shortages, how many days of average will you have to keep your inspection if you stop when you find two days of water shortages?
D. What is the probability that total consumption in a week is between 56 and 70 million?
E. What is the probability that total consumption in a month is between 200 and 240 million?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The water demand of a certain city (in millions of gallons) follows an exponential distribution with...
The water demand of a certain city (in millions of gallons) follows an exponential distribution with a lambda = 1/4. If the capacity of water resources is 10 million gallons. a. What is the probability of supplies being insufficient on any given day? b. In the next ten days, what is the probability that we have water shortages in exactly two days? c. If an inspector arrives, and every day checks for water shortages, how many days on average will...
The demand for water in a certain town (in million gallons) follows an exponential distribution with...
The demand for water in a certain town (in million gallons) follows an exponential distribution with (lambda)=1/8 If the capacity of the water resources is of 10 million gallons, what is the probability that in any given day, the supply will not be enough? In the next 10 days, what is the probability that we would have a water shortage in exactly two days? If an inspector arrives, and every day checks if there is a water shortage, how many...
The probability of having water shortages any day is 0.12. A. In the next ten days,...
The probability of having water shortages any day is 0.12. A. In the next ten days, what is the probability that we will have water shortages in exactly two days? (10 pts) B. What is the expected value of the number of days without water in the next ten days? (10 pts) C. If an inspector arrives, and every day checks for water shortages, how many days on average will you have to keep your inspection if you stop when...
Question 2 a) In a certain city, the daily consumption of water (in millions of litres)...
Question 2 a) In a certain city, the daily consumption of water (in millions of litres) can be treated as a random variable having a Gamma distribution with ? = 3 and ? = 0.5. i) What is the random variable? What is the expected daily consumption? [2 marks] ii) If the daily capacity of the city is 12 million litres, what is the probability that this water supply will be inadequate on a given day? Set up the appropriate...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From the April 2004 Issue Save Share 8.95 In 1991, Progressive Insurance, an automobile insurer based in Mayfield Village, Ohio, had approximately $1.3 billion in sales. By 2002, that figure had grown to $9.5 billion. What fashionable strategies did Progressive employ to achieve sevenfold growth in just over a decade? Was it positioned in a high-growth industry? Hardly. Auto insurance is a mature, 100-year-old industry...
Discuss ethical issues that can be identified in this case and the mode of managing ethics...
Discuss ethical issues that can be identified in this case and the mode of managing ethics Enron finds itself in this case. How would you describe the ethical culture and levels of trust at Enron? Provide reasons for your assessment. THE FALL OF ENRON: A STAKEHOLDER FAILURE Once upon a time, there was a gleaming headquarters office tower in Houston, with a giant tilted "£"' in front, slowly revolving in the Texas sun. The Enron Corporation, which once ranked among...
What role could the governance of ethics have played if it had been in existence in...
What role could the governance of ethics have played if it had been in existence in the organization? Assess the leadership of Enron from an ethical perspective. THE FALL OF ENRON: A STAKEHOLDER FAILURE Once upon a time, there was a gleaming headquarters office tower in Houston, with a giant tilted "£"' in front, slowly revolving in the Texas sun. The Enron Corporation, which once ranked among the top Fortune 500 companies, collapsed in 2001 under a mountain of debt...
Discuss how the respective organizations’ relations with stakeholders could have potentially been affected by the events...
Discuss how the respective organizations’ relations with stakeholders could have potentially been affected by the events that took place at Enron and how the situation could have been dealt with differently to prevent further damage? THE FALL OF ENRON: A STAKEHOLDER FAILURE Once upon a time, there was a gleaming headquarters office tower in Houston, with a giant tilted "£"' in front, slowly revolving in the Texas sun. The Enron Corporation, which once ranked among the top Fortune 500 companies,...
Delta airlines case study Global strategy. Describe the current global strategy and provide evidence about how...
Delta airlines case study Global strategy. Describe the current global strategy and provide evidence about how the firms resources incompetencies support the given pressures regarding costs and local responsiveness. Describe entry modes have they usually used, and whether they are appropriate for the given strategy. Any key issues in their global strategy? casestudy: Atlanta, June 17, 2014. Sea of Delta employees and their families swarmed between food trucks, amusement park booths, and entertainment venues that were scattered throughout what would...