The number x of people entering the intensive care unit at a particular hospital on any one day has a Poisson probability distribution with mean equal to five persons per day. (a) What is the probability that the number of people entering the intensive care unit on a particular day is two? (Round your answer to three decimal places.) What is the probability that the number of people entering the intensive care unit on a particular day is less than or equal to two? (Round your answer to three decimal places.) (b) Is it likely that x will exceed 10? Explain. O Yes, x is less than 2 standard deviations above the mean. O No, x is more than 2 standard deviations above the mean. You may need to use the appropriate appendix table or technology to answer this question.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The number x of people entering the intensive care unit at a particular hospital on any one day has a Poisson probability distribution with mean equal to five persons per day.
(a) What is the probability that the number of people entering the intensive care unit on a particular day is two? (Round your answer to three decimal places.)
What is the probability that the number of people entering the intensive care unit on a particular day is less than or equal to two? (Round your answer to three decimal places.)
(b) Is it likely that x will exceed 10? Explain.
O Yes, x is less than 2 standard deviations above the mean.
O No, x is more than 2 standard deviations above the mean.
You may need to use the appropriate appendix table or technology to answer this question.
Transcribed Image Text:The number x of people entering the intensive care unit at a particular hospital on any one day has a Poisson probability distribution with mean equal to five persons per day. (a) What is the probability that the number of people entering the intensive care unit on a particular day is two? (Round your answer to three decimal places.) What is the probability that the number of people entering the intensive care unit on a particular day is less than or equal to two? (Round your answer to three decimal places.) (b) Is it likely that x will exceed 10? Explain. O Yes, x is less than 2 standard deviations above the mean. O No, x is more than 2 standard deviations above the mean. You may need to use the appropriate appendix table or technology to answer this question.
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Suppose a random variable X defines the number of people entering the intensive care unit at a particular hospital on any one day.

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