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entering the intensive care unit at a particular hospital on any one day has a P

ID: 3065002 • Letter: E

Question

entering the intensive care unit at a particular hospital on any one day has a Polsson probability distribution with mean equal to five persons per day. ty that the number of people entering the intensive care unit on a particular day is two? (Round your answer to three decimal places.) 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 107 Explain Yes, x is less than 2 standard deviations above the mean e No, x is more than 2 standard deviations above the You may need to use the appropriate appendix table or technology to answer this question

Explanation / Answer

Solution:-

= 5

= sqrt(5)

= 2.2361

a) The probability that the number of people entering the intensive care unit in a particular day unit is two is 0.08422.

x = 2

By applying poisons distribution:-

P(x; ) = (e-) (x) / x!

P(x = 2) = 0.08422

b) The probability that the number of people entering the intensive care unit in a particular day unit is less than or equal to 2 is 0.12465

x = 2

By applying poisons distribution:-

P(x; ) = (e-) (x) / x!

P(x < 2) = 0.12465

c) No, x is more than 2 standard deviations above mean.