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The U.S. divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate applies to a small community of just 500 people and is Poisson distributed, and that
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- Suppose that X follows a poisson distribution with parameter λ=1.416 . P(X≥0)≅?arrow_forwardSome previous studies have shown a relationship between emergency-room admissions per day and level of pollution on a given day. A small local hospital finds that the num- ber of admissions to the emergency ward on a single day ordinarily (unless there is unusually high pollution) follows a Poisson distribution with mean = 2.0 admissions per day. Suppose each admitted person to the emergency ward stays there for exactly 1 day and is then discharged. 1. The hospital is planning a new emergency-room facil- ity. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not need to turn anyone away. What is the smallest number of beds it should li have to satisfy this criterion?arrow_forwardIf X follows a binomial distribution with p = 0.1 and n =100, find the approximate value of P(2 ≤ X ≤ 4) using the normal approximation. the Poisson approximation.arrow_forward
- If for a Poisson distribution 2P(X=0)+P(X=2)=2P(X=1), what is the mean of the distribution:arrow_forwardThe manager of a fast-food store realizes that her staffing problems are a result of the variation in the number of customers that arrive at the store. If the same number of customers came each hour, she would know exactly how many servers to have working. It turns out that the Poisson distribution works well to describe the arrivals of customers in any given hour. Explain why the manager has more trouble staffing the store during those hours when the average arrival rate is higher.arrow_forward
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