On average, Colton has noticed that 14 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probability that at most 5 trains will pass his house in a 7-hour time period? (Round your answer to three decimal places.) The time interval of interest is 7 hours. There is an average of 14 trains per 24 hours or 14/(24/7)=49/12 trains per 7 hours. The probability can be found using the Poisson distribution with parameter λ=49/12. Let X be the number of trains that pas...

On average, Colton has noticed that 14 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probability that at most 5 trains will pass his house in a 7-hour time period? (Round your answer to three decimal places.) The time interval of interest is 7 hours. There is an average of 14 trains per 24 hours or 14/(24/7)=49/12 trains per 7 hours. The probability can be found using the Poisson distribution with parameter λ=49/12. Let X be the number of trains that pas...