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Problem 1) The number of traffic tickets issued by...
Problem 1) The number of traffic tickets issued by the police officers on a busy street...
Problem 1) The number of traffic tickets issued by the police officers on a busy street in Boston follows a Poisson process with an average of 6 tickets per hour ) (6 points) What is the probability(that 3 tickets are issued in 25 minutes? (Round your answer to four decimal places) ii) 7 points) What is the probability that the waiting time between consecutive tickets is between 7 and 16 minutes? TRound your answer to four decimal places)
The number of parking tickets issued in a certain city on any given weekday has a...
The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day. (b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225and 285. (c) Use software to obtain the exact probabilities in (a) and...
The number of parking tickets issued in a certain city on any given weekday has a...
The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day. (b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 215 and 285. (c) Use software to obtain the exact probabilities in (a)...
please answer all parts!! A web site experiences traffic during normal working hours at a rate...
please answer all parts!!
A web site experiences traffic during normal working hours at a rate of fifteen visits per hour. Assume that the duration between visits has the exponential distribution (a) Find the probability that the duration between two successive visits to the web site is more than ten minutes. (Round your answer to four decimal places.) 00821 b) The top 25% f durations between visits are at least how long? (Round your answer to two decimal places. 1.15...
please provide an explanation for your answer. PLEASE SHOW WORK TO GET FULL UI Problem 2)...
please provide an explanation for your answer.
PLEASE SHOW WORK TO GET FULL UI Problem 2) This problem two independent parts a) and b) a) The number of cars arriving at a fast food drive-through is modeled by a Poisson distribution with an average of 8 cars per hour. What is the nmhability that fewer than 2 cars arrive at the fast food drive-through per 30 minutes. (5 points) (Round b) The time to failure of a component in an...
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio...
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probablity of no traffic delay in one perio given no traffic delay in the preceding period, is 0.9 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.65. Trafie is classified as having ether a delay or a no-delay state,...
Police stops ~ The Minneapolis Police Department records data on all traffic stops made by their...
Police stops ~ The Minneapolis Police Department records data on all traffic stops made by their police officers such as race, gender, reason, citation issued, etc. To estimate the proportion of drivers who are stopped that are female, the chief of police takes a random sample of 97 traffic stops and finds that in 25 of them, the driver was female. Using this data, the chief of police wants to estimate the actual proportion of drivers who are stopped that...
Please show ALL of your work! Question 11 Traffic engineers install 8 street lights with new...
Please show ALL of your work!
Question 11 Traffic engineers install 8 street lights with new bulbs. The probability that a bulb will fail within 50010 hours of operation is 0.18. Assume that each of the bulbs fails independently. (a) What is the probability that fewer than two of the original bulbs will fail within 50010 hours of operation? (b) What is the probability that no bulbs will have to be replaced within 50010 hours of operation? (c) What is...
Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs....
Problem 15-27 (Algorithmic) 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 four jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 1.4 hours and a standard deviation of 1 hour. Answer the following questions, assuming that Gubser uses one welder...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? If required, round your answer to four decimal places. P0 = What is the probability that one customer is receiving a haircut and no...
Problem 1) The number of traffic tickets issued by the police officers on a busy street in Boston follows a Poisson process with an average of 6 tickets per hour ) (6 points) What is the probability(that 3 tickets are issued in 25 minutes? (Round your answer to four decimal places) ii) 7 points) What is the probability that the waiting time between consecutive tickets is between 7 and 16 minutes? TRound your answer to four decimal places)
please answer all parts!!
A web site experiences traffic during normal working hours at a rate of fifteen visits per hour. Assume that the duration between visits has the exponential distribution (a) Find the probability that the duration between two successive visits to the web site is more than ten minutes. (Round your answer to four decimal places.) 00821 b) The top 25% f durations between visits are at least how long? (Round your answer to two decimal places. 1.15...
please provide an explanation for your answer.
PLEASE SHOW WORK TO GET FULL UI Problem 2) This problem two independent parts a) and b) a) The number of cars arriving at a fast food drive-through is modeled by a Poisson distribution with an average of 8 cars per hour. What is the nmhability that fewer than 2 cars arrive at the fast food drive-through per 30 minutes. (5 points) (Round b) The time to failure of a component in an...
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probablity of no traffic delay in one perio given no traffic delay in the preceding period, is 0.9 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.65. Trafie is classified as having ether a delay or a no-delay state,...
Please show ALL of your work!
Question 11 Traffic engineers install 8 street lights with new bulbs. The probability that a bulb will fail within 50010 hours of operation is 0.18. Assume that each of the bulbs fails independently. (a) What is the probability that fewer than two of the original bulbs will fail within 50010 hours of operation? (b) What is the probability that no bulbs will have to be replaced within 50010 hours of operation? (c) What is...
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