SOLUTION: The number of members arriving at a gym follows a Poisson distribution with a mean of 2 members per minute. (a) What is the probability that 3 members arrive in 30 seconds? (b

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Question 1166168: The number of members arriving at a gym follows a Poisson distribution with a mean of 2 members per minute.
(a) What is the probability that 3 members arrive in 30 seconds?
(b) Determine the probability (in percentage) that the lady at the front entrance can have a 2 minute uninterrupted coffee break?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Since this is proportional to time, this is the same as 6 members in a minute. The parameter is 2 in a minute
prob=e^(-2)*2^6/6!=0.0120
probability have 0 when the parameter is 2. This is e^(-2)=0.1353