Problem 2.4: A joint discrete probability function f(x, y) is expressed in the table below. Find: (a) c (b) P(1 < X < 3, 1.5 < Y <1.7) (c) P(2.5 < X < 3.5) (d) PI(X Y<46)

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Problem 2.4: A joint discrete probability function f(x, y) is expressed in
the table below. Find:
(a) c
(b) P(1 < X < 3, 1.5 < Y < 1.7)
(c) P(2.5 <X < 3.5)
(d) P((X+Y)< 4.6)
(e) the marginal distributions fx(x) and fy(y)
(f) whether the random variables X and Y are statistically independent.
f(r, y)
2.1
2.9
3.7
1.56 0.01 0.05 0.07
y 1.64 0.04
1.72 0.21 0.17 0.02
0.03
Transcribed Image Text:Problem 2.4: A joint discrete probability function f(x, y) is expressed in the table below. Find: (a) c (b) P(1 < X < 3, 1.5 < Y < 1.7) (c) P(2.5 <X < 3.5) (d) P((X+Y)< 4.6) (e) the marginal distributions fx(x) and fy(y) (f) whether the random variables X and Y are statistically independent. f(r, y) 2.1 2.9 3.7 1.56 0.01 0.05 0.07 y 1.64 0.04 1.72 0.21 0.17 0.02 0.03
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