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 9 small aircraft arrive during a 1-hour period?

0.124 = 12.4% probability that exactly 9 small aircraft arrive during a 1-hour period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

Rate of 8 per hour

This means that

(a) What is the probability that exactly 9 small aircraft arrive during a 1-hour period?

This is P(X = 9).

0.124 = 12.4% probability that exactly 9 small aircraft arrive during a 1-hour period.

2

step-by-step explanation:

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i honestly dont know