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An instructor has given a short quiz consisting of two parts. For a randomly selected student,...

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Basic Math

An instructor has given a short quiz consisting of two parts.For a randomly selected student, let X = the number of pointsearned on the first part and Y = the number of points earned on thesecond part. Suppose that the joint pmf of X and Y is given in theaccompanying table.

p(x, y)

    		  0    5    10  
x00.030.080.09
50.090.200.20
100.020.150.16

(a) what is the probability that a randomly selected studentscores 5 on both parts?
(b) what is the probability that a randomly selected student scoresat least 5 on part 1 and no points on part 2?

(c) find the marginal PMFs of X and Y (find PMF of X and PMF ofY).

(d) If the score recorded in the grade book is the toal numberof points earned in two parts, what is the expected recorded scoreE(X+Y)?

Answer & Explanation Solved by verified expert
3.9 Ratings (393 Votes)
Note that total probability is always equal to 1 So please check the given probabilities Here total of the probabilities 102 Lets take PX 10 Y 10 014 instead    See Answer
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