Answered: Consider a Poisson probability…

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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Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company’s office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution with a mean time of 3.2 hours per job and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs. a. What is the average number of jobs waiting for service?b. What is the average time a job waits before the welder can begin working on it?c. What is the average number of hours between when a job is received and when it is completed?d. What percentage of the time is Gubser’s welder busy? choices:a. 89/10b. 4/5c. 121/10d. 89/40
A random sample of 3 households is selected. The probabilities that certain number of households have a pet dog are listed. prob. of households with a dog P(x) probability that x households have %3D x (# of households) a dog 0.036 1 0.219 2 0.444 0.301 a) Does this table describe a probability distribution? Give a reason for your answer. Do not simply say yes/no b) What is the mean? Show work Edit View Insert Format Tools Table BIUA e Pv: 12pt v Paragraph v DELL
Suppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03
In a binomial distribution, n=8 and pie=0.36. Find the probabilities of the following events. a. X=5 b. X<=5 c. X>=6
A pizza parlour makes an average of 5.75 pizzas every 5 minutes during the dinner rush. What is the probability that the restaurant will make at least one pizza per minute during the dinner rush? Analyze the given scenario and complete the following: a. Determine which probability distribution should be used to model the scenario. Hypergeometric Geometric E Poisson SAMSUNG SUBMIT QUESTION SAVE PROGRESS SUBMIT
Let X be a binomial random variable with n = 50 and p = .25. Approximate the following probabilities: P(X <20). Show your work below.
About 69% of people who are murdered knew the person who committed the murder. Suppose that Detective Williams's case load currently has 49 unsolved murders. Use a nomal distribution approximation to the binomial distribution to find the following probabilities: a. What is the probability that at least 30 of the victims among Detective Williams's case files knew their murderer? b. What is the probability that between 30 and 39 of the victims knew their murderer?
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute. Let's assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 45 customers per hour, or 0.75 customers per minute. Determine the following operating characteristics for the system. (Round your answers to four decimal places.) (a) The probability that no customers are in the system 1353 (b) The average number of customers waiting 1786 (c) The average number of customers in the system 1.25 (d) The average time (in min) a customer spends waiting 4.2 X min (e) The average time (in min) a customer spends in the system x min 1 (f) The probability that arriving customers will have to wait for service 73 X
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 3.2 hours and a standard deviation of 2.3 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs. (a) What is the mean arrival rate in jobs per hour? (Round your answer to four decimal places.) per hour (b) What is the mean service rate in jobs per hour? (Round your answer to four decimal places.) per hour (c) What is the average number of jobs waiting for service? (Round your answer to four decimal places.) (d) What is the average time (in hours) a job waits before the welder can begin working on it? (Round your answer to two decimal places.) h (e) What is the average number of hours between…
Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 5 per hour. A. Determine the probability that over the next hour, only one car will arrive. Probability = %3D B. Compute the probability that in the next 3 hours, more than 27 cars will arrive. Probability =

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Consider a Poisson probability distribution with λ=2.4. Determine the following probabilities