The average number of earthquake happened in a prone is 5 per 3 years . If we have to determine the probability of witnessing 3 earthquakes in next 3 years, we ill use th
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5) The average number of earthquake happened in a prone is 5 per 3 years . If we have to determine the
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- The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period, Find the expected value and standard deviation. What is the probability that 2 customers will arrive in a 5-minute period? What is the probability that no more than 2 customers will arrive in a 5-minute period? What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?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).The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of 5. Then, the probability that there will be 3 corner kicks in 45 minutes is
- On average, Nancy has noticed that 21 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 1 truck will pass her apartment in a 2-hour time period using Poisson distribution, find the average number of trucks per 2 hours.Suppose bird attacks follow a Poisson process and attacks occur at a rate of 4 attacks per week What is the probability of a bird free week (0 bird attacks)? In a period of 16 weeks, what is the probability of exactly 2 bird free weeks? What is the probability that it takes 16 weeks for there to be exactly 3 bird free weeks?The number of typing errors made by a typist has a Poisson distribution with an average of three and a half errors per page. If five or more errors appear on a given page, the typist must retype the whole page. What is the probability that the typist makes 3 errors on a page? What is the probability that a randomly selected page does not need to be retyped?
- Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter ? = 20 What is the probability that the number of drivers will be at most 19? What is the probability that the number of drivers will exceed 29? What is the probability that the number of drivers will be between 19 and 29, inclusive?What type of distribution is appropriate to model the time between two consecutive departures from the gate of an airport Poisson Binomial Exponential GeometricChains "A" and "B" are made of the same steel. "A" consists of three links and "B" consists of six links, each link having a normal distribution function of the resisting strength with a mean of 60,000 psi and standard deviation of 5,000 psi. Determine which chain is generally weaker (from a probabilistic point of view) by plotting the probability distribution functions of their resisting strengths on the same diagram.
- If 15% of adults in a certain country work from home, what is the probability that fewer than 30 out of a random sample of 250 adults will work from home? (Round your answer to 3 decimal places)The number of calls to a consumer hotline has a Poisson distribution with an average of 5 calls every 30 minutes. What is the probability that there are more than 8 calls per 30 minutes? What is the probability distribution for the number of calls to this hotline per hour? What is the probability that the hotline receives fewer than 15 calls per hour?Suppose that we plan to approximate a binomial distribution with parameters n and p by a Poisson distribution. What is the parameter for the Poisson distribution?