Problema Solution
Poisson Probability People enter a line for the Demon Roller Coaster at the rate of 4 per minute. The following formula from probability can be used to determine the probability that x people will arrive within the next minute.
P (x)4^(xe^(-4) )/x!
where
X!=x∙(x-1)∙(x-2)∙∙∙∙∙3∙2∙1
(a) Determine the probability that x = 5 people will arrive within the next minute.
(b) Determine the probability that x = 8 people will arrive within the next minute.
Answer provided by our tutors
(a) P(x=5) = 4^5*e^(-4)/5! = 0.1563
the probability that x = 5 people will arrive within the next minute is 0.1563
(b) P(x=8) = 4^8*e^(-4)/8! = 0.0298
the probability that x = 8 people will arrive within the next minute is 0.0298