Answer:
2, 0.135, 0.270, 0.270, 0.180, 0.145
Step-by-step explanation:
1. To calculate the mean of people arriving in 5 minute period:
We know the arrival rate of minute is 0.4, so people arriving in 5 minutes will be
0.4 x 5 = 2
2. From part 1 it is known thay mean arrival time=2
For this we will use poisson's probability formula that is
P(X=x) = (2^x) x Exp^(-2/x!)
For X=0
P(X=0) = (2^0) x Exp^(-2/0!) = 0.135
For X = 1
P(X=1) = (2^1) x Exp^(-2/1!) = 0.270
For X = 2
P(X=2) = (2^2) x Exp^(-2/2!) = 0.270
For X = 3
P(X=3) = (2^3) x Exp^(-2/3!) = 0.180
3. For delay expected if more than 3 customer arrive in 5 minutes.
P(X>3) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3)
P(X>3) = 1-0.135-0.270-0.270-0.180
P(X>3) = 0.145
