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Assume that airplanes land independently of one another on a particular runway. If there is an 8% chance that no airplanes land in an hour, what is the probability that six airplanes land in an hour?
$3.00$2.00Question: Assume that airplanes land independently of one another on a particular runway. If there is an 8% chance that no airplanes land in an hour, what is the probability that six airplanes land in an hour?
A: 0.6188
B: 0.7351
C: 0.1515
D: 0.0288

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Consider a Poisson distribution with a mean of three occurrences per time period. (a) Write the appropriate Poisson probability function f(x)
$5.00$4.00Question:
Consider a Poisson distribution with a mean of three occurrences per time period.
(a) Write the appropriate Poisson probability function f(x)
(b) What is the expected number of occurrences in four time periods?
(c) Write the appropriate Poisson probability function to determine the probability of x occurrences in four time periods f(x)
(d) Compute the probability of three occurrences in one time period. (Round your answer to four decimal places.)
(e) Compute the probability of twelve occurrences in four time periods. (Round your answer to four decimal places.)
(f) Compute the probability of nine occurrences in three time periods. (Round your answer to four decimal places.)