SOLUTION: A bank offers online banking to its customers free of charge. While online, customers can also sign up for additional services that the bank offers. Let x be the number of customer

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Question 1075237: A bank offers online banking to its customers free of charge. While online, customers can also sign up for additional services that the bank offers. Let x be the number of customers who sign up for additional services online each day. Suppose the distribution of x is approximated well by a Poisson distribution with mean λ = 3. Hint: the mean is the same as E(x) or the expected value.
a) Find E(x) and σ.
b) What is the P(X = 2)? This is just the probability of x = 2 not the cumulative probability.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
E(x)=3
sigma is the sqrt (3)
The Poisson distribution has the same mean and variance.
P(x=2)
e^(-3)*3^2/2!=0.2240