An oil company in Abu Dhabi expects that a new oil field will produce between 2,000 and 12,000 barrelsof oil per hour. The oil company also expects that most likely production to be 7000 barrels per hour.The company believes the oil field will be uneconomic if the probability of extracting less than 5,000barrels per hour is less than 10%.a) Model the hourly production of oil by a triangular distribution.b) Find the probability that less than 5,000 barrels of oil will be produced in one hour. Is thiseconomic production rate?c) What is the probability that this oil field will produce more than 10,000 barrels per hour?d) You manager is interested in learning the 75th percentile. How much is the production rate atthis level?

Let the random variable X denotes the number of barrels produced by the oil company. X can take the…

Answered: An oil company in Abu Dhabi expects…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A article recently reported that 65% of American adults said they would get the COVID vaccine if they were given the opportunity. Imagine I took a random sample of 700 American adults and found 68% of my sample said they would get the COVID vaccine if they were given the opportunity. What is the chance I would get results like this if the true proportion were 65%? Use the sampling distribution of the proportion to find the probability that I would get 68% or more from my sample willing to take the vaccine given a true proportion of 65%. Show your work on paper including what you are entering into technology and put your answer in a complete sentence.
The time that a customer expects to receive service from a firm is a uniform distribution. If the probability that the time a customer waits to receive service is more than 20 minutes is 0.60, and the probability that it is less than 25 minutes is 0.60:1. Find the probability that a customer's waiting time is less than 15 minutes.2. The manager of this firm expressed his aim by saying that "70% of customers wait for service should not exceed 25 minutes". Explain whether this goal has been met by making the necessary calculations.
Many track hurdlers believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track hurdlers in the different starting positions. Calculate the chi-square test statistic x to test the claim that the probabilities of winning are the same in the different positions. Use α = 0.05. The results are based on 240 wins. Starting Position 3 4 5 6 1 2 Number of Wins 44 32 33 50 36 45 O A. 6.750 O B. 12.592 O C. 15.541 O D. 9.326 C
The average speeds of cars on a highway are distributed according to a normal distribution. Today, John is on his way to work. As he enters the highway, he notices a car speeding by at 150 km/hr. Ten seconds later, another car speeds by at 160 km/hr. John concludes that today, cars must be going faster for some reason. A few minutes later, John gets into a minor accident. Once again, he concludes that it was inevitable - he got into the accident because cars were driving faster today. Explain what fallacies - if any-are involved in both of John's claims. Is John justified in his conclusions?
he Princeton Review, a company that tracks information about various colleges, reports that 30% of CofC students are out-of-state students. If we took many samples of CofC students, and for each sample calculate the proportion $\hat{p}$ of out-of-state students in that sample, what would be the center of this distribution?
A small river is found to be polluted due to the chemical waste from two major industries, A and B. Due to the strict standards enforced by the EPA, the probability of controlling the pollutions from A and B are 0.7 and 0.85, respectively, in the next two years. It is estimated that, if only one of the industries complies with the strict standards of EPA, there is a 75 percent probability of controlling the pollution in the river to an acceptable level. (a) Find the probability of controlling the pollution in the river in the next two years. (b) If the pollution in the river is not controlled in the next two years, what is the probability that it is caused entirely by industry A?
A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Y1 = 0, if the policy holder does not have any health issues; Y1 = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
Determine the heteroscedasticity in a scatter plot?
A catering service got hired to run the bar at a wedding with 100 guests. A wedding guest drinks on average 4 pints with variance of 0.9. i. Calculate how many pints the catering service approximately has to have in stock to be 95% sure that they can serve the demand. ii. To be on the safe side the catering service decides to bring 430 pints. What is the approximate probability that those will suffice?
The Grand Canyon Skywalk is a viewing platform located 3,000 ft over the river in the base of Canyon. According to Wikipedia, the platform is rated for a maximum of 120 people at one time. Data from a statistics book on the weights of adults is given below. Assume male and female adult weights are normally distributed. Males Females Мean 182.9 lb 165.0 lb Std. Dev. 40.8 lb 45.6 lb Find the probability that 120 randomly selected adult males have a mean weight greater than 200 lbs.
The consulting firm of Winston & Associates has been retained by an electronic component assembly company in Phoenix to design and program a computer simulation model of its operations. Winston & Associates plan to construct the model using ProModel software (see Promodel.com). This software allows the developer to program into the model probability distributions for things like machine downtime, defect rates, daily demand, and so forth. The closer the distributions specified in the computer model match those that actually occur in the assembly plant, the better the simulation model will perform. For one machine center, Winston consultants have assumed that when the center goes down for repairs, the time that it will be down will be normally distributed with an average of 30 minutes and a standard deviation equal to 10 minutes. Before finalizing the model, the consultants will collect a random sample of downtimes and test whether their downtime assumptions are valid. The…
5. A pressure transducer regulates a climate control system in a factory. The transducer fails according to an exponential distribution with rate one failure every five years on average. a. What is the cumulative distribution function of the time until failure? b. What is the probability that a transducer chosen at random functions for eight years without failure? irteen Reliability and Maintainability c. What is the probability that a transducer that has functioned for eight years con- tinues to function for another eight years?

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