According to the discrete distribution given, the salesman is expected to send 3.65 texts each day.
The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Considering the discrete distribution given in the model, we have that:
E(X) = 0.05(0) + 0.05(1) + 0.1(2) + 0.1(3) + 0.4(4) + 0.3(5) = 3.65
The salesman is expected to send 3.65 texts each day.
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