Problem 3: The joint probability distribution of the discrete variables X and Y is expressed in the table below. Find: (a) c (b) E(X) (c) E(X) (d) E(Y) (e) E(Y) (f) E(XY) (g) E(X/Y) (h) Var(X) (i) Var(Y) G) Cov(X, Y) f(r, y) 1.5 0.46 0.088 0.031 0.073 0.021 0.86 0.057 0.066 0.085 0.022 1.26 0.084 0.065 0.096 0.030 1.66 0.036 0.073 2.1 2.7 3.3 0.089

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Problem 3: The joint probability distribution of the discrete variables X
and Y is expressed in the table below. Find:
(a) c
(b) Е(X)
(c) E(X)
(d) E(Y)
(e) E(Y?)
(f) E(XY)
(g) E(X/Y)
(h) Var(X)
(1) Var(Y)
(i) Cov(X, Y)
f(r, y)
1.5
0.46 0.088 0.031 0.073 0.021
0.86 0.057 0.066 0.085 0.022
1.26 0.084 0.065 0.096 0.030
2.1
2.7
3.3
1.66 0.036 0.073
0.089
Transcribed Image Text:Problem 3: The joint probability distribution of the discrete variables X and Y is expressed in the table below. Find: (a) c (b) Е(X) (c) E(X) (d) E(Y) (e) E(Y?) (f) E(XY) (g) E(X/Y) (h) Var(X) (1) Var(Y) (i) Cov(X, Y) f(r, y) 1.5 0.46 0.088 0.031 0.073 0.021 0.86 0.057 0.066 0.085 0.022 1.26 0.084 0.065 0.096 0.030 2.1 2.7 3.3 1.66 0.036 0.073 0.089
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