what is the probability that the 4th ghost appears more than 30 minutes after the 3rd ghost
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- Jamuna future park has one parking counter. From previous experience, it is estimated that cars arrive according to Poisson distribution at a rate of 2 every 5 minutes and that there is enough space to accommodate a line of 3 cars. Other arriving cars can wait outside the space, if necessary. It takes 1.5 minutes on an average to serve a customer. However, the service time usually varies according to exponential distribution. Requirements: i. Determine the average time that the counter is free on an 8-hour working day. Determine the probability of having 5 cars in the queue. Determine the probability that a customer shall wait for more than 4 minutes in the queue. Determine the probability that an arriving car will have to wait outside the directed space. Now, Jamuna future park is planning to install automation servicing system that will reduce service time from 1.5 minutes to 1 minute, but increase the cost by TK. 30 per day. Should Jamuna future park introduce the automation…We know that Jenny has a 70% chance to be active in 2020, and the yearly retention rate is 90% (i.e., the likelihood of being active in the next year, given that a customer is active in a particular year is 90%). What is th likelihood that Jenny will still be active in 2022 (choose the closest number)?In England, the most serious emergency calls requesting an ambulance are classified as 'Red 1'. According to data from NHS England, in March 2017, the London Ambulance Service (LAS) received a total of 1597 Red 1 emergency calls. Based on this number and adjusting for variations during the day, suppose that Red 1 calls arriving at the LAS in daylight hours may be modelled as a Poisson process with rate 3 per hour. (i1 (2) Calculate and report the probability that three Red 1 calls arrive at the LAS in 30 minutes during daylight hours. (ii) (1) Write down the distribution of the waiting time (in hours) between the arrivals of two successive Red 1 calls at the LAS during daylight hours, including the values of any parameters. (2) Calculate and report the probability that the gap between the arrivals of two successive Red 1 calls at the LAS during daylight hours will exceed 20 minutes.
- The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3.5 accidents per year. Find the probability that more than one year elapses between accidents.Despite all efforts by the quality control department, the fabric made at benton corporation always contains a few defects. A certain type of fabric made at this corporation contains an average of 0.51 defects per 500 yards. Using the Poisson formula, find the probability that the number of defects in a given 500-yard piece of this fabric will be between two and four.P(between 2 and 4) =The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3 accidents per year. Find the probability that less than three months elapse between accidents.
- The average number of collisions in a week during the summer months at a particular intersection is 2. Assume that the requirements of the Poisson distribution are satisfied. What is the probability that there will be exactly one collision in a week?ANSWER THIS ASAP PLEASE. HELP ME LEARN. The exit gate has an outflow rate of 20 cars per minute which can be modeled as a Poisson Random Process. What is the probability of the 9th car exiting within 20 seconds?ee
- Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…Steve Burns, host of the first season of Blue' clues recently bids goodbye to the show. Assuming that in his first season of hosting he can actually find an average of 15 clues that when blue leaves paw prints on the objects around her house per week. If the clues he finds follows Poisson distribution, what is the probability that there will be 5, 10 or 15 clues during the next week?
