An instructor has g ven short quiz consisting o two parts. For a random y sal c

Question

An instructor has g ven short quiz consisting o two parts. For a random y sal c ed student, let X the number o pointsaarnad on the first part and -tha number a Ports carned an the second part. Suppose that the ont pm of and Yls grven in the x 0.0 .10 0.20 0.10 10 0.01 0.15 012 0.01 a) f the score reconded in tha grade book is the total numher of points earned on the two parts, whar is tha axpectad racorded scora Fix- Y? (Enter yaur answer to one dacimal place.) 3.15 (b] t the maximum of the two scores is recorded, what is the expected recorded score? (Enter your answer to two decimal places.)

Explanation / Answer

(a) E(X+Y) = 15.9

(b) expected score = (10 + 25) * 0.01 = 0.35

P(x,y) 0 5 10 25 0 0.03 0.06 0.02 0.1 3 5 0.04 0.16 0.2 0.1 5.3 10 0.01 0.15 0.12 0.01 2.2 0.3 2.3 2.2 0.6 15.9

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