Ask Your Suppose small aircraft arrive at a certain airport according to a P Poi

Question

Ask Your Suppose small aircraft arrive at a certain airport according to a P Poisson rv with parameter -8t. (Round your answers to three decimal places.) oisson process with rate -8 per hour, so that the number of vals during a time period of t hours is a (a) What is the probability that exactly 9 small aircraft arrive during a 1-hour period? What is the probability that at least 9 small aircraft arrive during a 1-hour period? What is the probability that at least 11 small aircraft arrive during a 1-hour period? What is the expected value and standard deviation of the number of small aircraft that arrive during a 90-min period? expected value standard deviation (b) (c) What is the probability that at least 28 small aircraft arrive during a 2.5-hour period? What is the probability that at most 16 small aircraft arrive during a 2.5-hour period? You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read Talk to a Tutor

Explanation / Answer

A)

probability=(8t)^n*(e^-8t)/n!

i)P(x=9)=(8)^9*(e^-8)/(9!)=0.124

ii) P(X>=9)=1-P(X<=9)=0.408

iii)P(X>=11)=1-P(X<=11)=0.113

B)

i)mean=12

ii)standard deviation= 3.464

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