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DISTRIBUCIÓN DE PROBABILIDAD POISSON Airline passengers arrive randomly and independently at the passenger check-in counter. The...

DISTRIBUCIÓN DE PROBABILIDAD POISSON

Airline passengers arrive randomly and independently at the passenger check-in counter. The average arrival rate is 10 passengers per minute.

a. Calculate the probability that no passenger will arrive within one minute.

μ = 10 in 1 minute
x = 0 in 1 minute

b. Find the probability that three or fewer passengers will arrive within one minute.

μ = 10 in 1 minute
x ≤ 3 in 1 minute >>> P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3)

c. That no passenger arrives within 15 seconds.

μ = 2.5 in 15 seconds
x = 0 in 15 seconds

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