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.

MATLAB: An Introduction with Applications
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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 a 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.)

[Input Box]

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.)

[Input Box]

(b) Is it likely that \( x \) will exceed 10? Explain.

- \( \circ \) Yes, \( x \) is less than 2 standard deviations above the mean.

- \( \circ \) No, \( x \) is more than 2 standard deviations above the mean.
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 a 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.) [Input Box] 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.) [Input Box] (b) Is it likely that \( x \) will exceed 10? Explain. - \( \circ \) Yes, \( x \) is less than 2 standard deviations above the mean. - \( \circ \) No, \( x \) is more than 2 standard deviations above the mean.
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