The records of court clerk show that the probabilities of 0

The records of court clerk show that the probabilities of 0, 1, 2, 3, 4, 5 lawsuits being filed per day are 0.25, 0.35, 0.24, 0.12, and 0.04. How many lawsuit filings can the clerk of the court expect per day?

Solution

Let us prepare table for the given data showing the prob distribution of x. As there are only 4 prob given i assumed that x =0,1,2,3,4

E(x) = 1.35