SOA Exam P Practice Q23

The table below shows the joint probability function of a team’s number of task delays (X) and number of late submissions (Y) associated with these tasks this month.
P(X=0, Y=0) = 0.650,
P(X=1, Y=0) = 0.200, P(X=1, Y=1) = 0.050,
P(X=2, Y=0) = 0.050, P(X=2, Y=1) = 0.020, P(X=2, Y=2) = 0.010,
P(X=3, Y=0) = 0.010, P(X=3, Y=1) = 0.006, P(X=3, Y=2) = 0.003, P(X=3, Y=3) = 0.001.
Calculate the team’s expected number of late submissions.
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