a) If the score recorded is the total number of points, then E(X+Y) will be the sum of products of X+Y and their corresponding probabilities.
E(X+Y)= 0.3+0.2+1.5+0.2+1.7+3.0+2.0+0.1+2.25+2.6+0.25
Which is 14.10
Hence the required expected value is 14.10.
b) If the score recorded is the maximum of two points, then the expected value will be the sum of products of max(X,Y) and their corresponding probabilities.
E(max(X,Y)) = 0.3+0.2+1.5+0.2+0.85+2+1.5+0.1+1.5+1.3+0.15
Which is 9.6
Hence the required expected value will be 9.60
An instructor has given a short quiz consisting of two parts. For a randomly selected student,...
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. y p(x,y) 0 5 10 15 0 0.03 0.06 0.02 0.10 х 5 0.04 0.13 0.20 0.10 10 0.01 0.15 0.15 0.01 (a) If the score recorded...
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) 0 у 0 5 10 0.03 0.06 0.02 0.04 0.13 0.20 0.01 0.15 0.15 15 0.10 Х 5 0.10 0.01 10 (a) If...
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. y p(x, y) 0 5 10 15 x 0 0.01 0.06 0.02 0.10 5 0.04 0.17 0.20 0.10 10 0.01 0.15 0.13 0.01 (a) If...
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 Yis given in the accompanying table. Х p(x,y) 0 5 10 15 0 0.03 0.06 0.02 0.10 5 0.04 0.13 0.20 0.10 10 0.01 0.15 0.15 0.01 (a) If the score recorded...
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) 0 5 10 15 0 0.03 0.06 0.02 0.10 x 5 0.04 0.17 0.20 0.10 10 0.01 0.15 0.11 0.01 (a) If the...
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. y p(x, y) 0 5 10 15 x 0 0.01 0.06 0.02 0.10 5 0.04 0.14 0.20 0.10 10 0.01 0.15 0.16 0.01 (a)...
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. y p(x, y) 0 5 10 15 x 0 0.01 0.06 0.02 0.10 5 0.04 0.14 0.20 0.10 10 0.01 0.15 0.16 0.01 (a)...
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) 0 5 10 15 0 0.01 0.06 0.02 0.10 X 5 0.04 0.17 0.20 0.10 10 0.01 0.15 0.13 0.01 (a) Compute the...
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.
(a) Compute the covariance for X and Y. (Round
your answer to two decimal places.)
Cov(X, Y) =
(b) Compute ρ for X and Y....
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 joint pmf of X and Y is given in the accompanying table. the number of points earned on the second part. Suppose that the 0.02 0.04 100.01 0.15 10 0.02 0.20 0.15 15 0.10 0.10 0.01 0.06 0.14 (a) Compute the covariance for X and Y. (Round your answer to two decimal...