Find the probability that the fifth customer will arrive after an hour.
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Suppose that on average, 5 customers arrive at a shop during a 1-hour period. Assume arrival times of customers follow a Poisson Process.
Find the probability that the fifth customer will arrive after an hour. (in percent)
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- In a recent year, an author wrote 198 checks. Use the Poisson distribution to find the probability that on a random day, he wrote at least one check.In a recent year, an author wrote 187 checks. Use Poisson distribution to find the probability that, on a randomly selected day, he wrote at least one check.During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes. What is the probability of three calls in five minutes (to 4 decimals)? What is the probability of no calls in a five-minute period (to 4 decimals)
- Consider a Poisson distribution with a mean of two occurrences per time period. Compute the probability of three occurrences in one time period (to 4 decimals). Compute the probability of seven occurrences in two time periods (to 4 decimals).Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)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.
- A bank teller successfully completes 85% of all transactions and within four minutes and 26 customers into the bank what is the probability that the Taylor will complete fewer than 20 of these transactions within four minutes round your answer to the nearest thousands placeThe number of forklift topples in an area follows a poisson-process with rate 3 accidents per week. Suppose that we observed one forklift topple in the first week. What is the probability that we will observe at most one forklift topples in the next 2 days?The time between arrivals of customers at the drive-up window of a bank follows an exponential distribution with a mean of 20 minutes. a)What is the probability that the arrival time between customers will be 13 minutes or less? b)What is the probability that the arrival time between customers will be between 13 and 27 minutes?
- Officer Thompson of the Bay Ridge Police Department works the graveyard shift. He averages 4.5calls per shift from this dispatcher. Assume the number of calls follows a Poisson distribution. Find theprobability that Officer Thompson get fewer than 2 calls in a shift.The Johnson & Johnson Company operates 6 identical machines that are serviced by a single technician when they breakdown. These breakdowns occur according to the Poisson distribution and average 0.03 breakdowns per machine operating hour. Average repair time for a machine is 5 hours and follows the exponential distribution. a) What percent of the technician's time is spent repairing machines? Answer in 4 decimal places. Blank 1 b) On average, how long is a machine out of service because of a breakdown? Answer in 2 decimal places. Blank 2 c) On average, how many machines are out of service? Answer in 1 decimal place. Blank 3 Blank 1 Blank 2 Blank 3 Add your answer Add your answer Add your answerIn a recent year, an author wrote178checks. Use the Poisson distribution to find the probability that, on a randomly selected day, he wrote at least one check what is the probability SHARE
