Question

Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ=8t. (Round your answers to three decimal places.)  

(a) What is the probability that exactly 7 small aircraft arrive during a 1-hour period? 

What is the probability that at least 7 small aircraft arrive during a 1-hour period? 

What is the probability that at least 10 small aircraft arrive during a 1-hour period? 

(b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 90-min period? 

expected value  = _______ 

stsandard deviation = _______ 

(c) What is the probability that at least 27 small aircraft arrive during a 2.5-hour period? 

What is the probability that at most 14 small aircraft arrive during a 2.5-hour period?

Answer 1