\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The random variable \(X\) represents the number of customers served by a cashier in an hour, with the probability distribution given below:
\(x\) 0 1 2 3 4
\(P(X = x)\) 0.15 0.2 0.35 0.25 0.05
Calculate the expected value \(E(X)\), the average number of customers served per hour.
\(E(X) = \)