An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of poi

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An instructor has given a short quiz consisting of two parts.
For a randomly selected student, let X = the
number of points earned on the first part
and Y = the number of points earned on the
second part. Suppose that the joint pmf
of X and Y is given in the
accompanying table.
p(x, y)
(a)
If the score recorded in the grade book is the total number of
points earned on the two parts, what is the expected recorded
score E(X + Y)? (Enter
your answer to one decimal place.)
(b)
If the maximum of the two scores is recorded, what is the
expected recorded score? (Enter your answer to two decimal
places.)