Problem 2.5: A discrete joint probability distribution is expressed through the expression below. Find: (a) c (b) P(2 < X < 6,3 < Y < 5) (c) P(2.5 < X < 18.5) (d) P((X+Y) > 7) (e) the marginal distributions fx(x) and fy(y) 1 for r 2, 5, 10, y = 2, 4, 5, where (X +Y) > 4 xy f(x, y) = for a = y = 2 0. elsewhere

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Problem 2.5: A discrete joint probability distribution is expressed through
the expression below. Find:
(a) c
(b) P(2 < X < 6,3 < Y < 5)
(c) P(2.5 < X < 18.5)
(d) P((X+Y) > 7)
(e) the marginal distributions fx(x) and fy(y)
1
for r 2, 5, 10, y = 2,4, 5, where (X +Y) > 4
xy
f(x, y) =
for r = y = 2
elsewhere
Transcribed Image Text:Problem 2.5: A discrete joint probability distribution is expressed through the expression below. Find: (a) c (b) P(2 < X < 6,3 < Y < 5) (c) P(2.5 < X < 18.5) (d) P((X+Y) > 7) (e) the marginal distributions fx(x) and fy(y) 1 for r 2, 5, 10, y = 2,4, 5, where (X +Y) > 4 xy f(x, y) = for r = y = 2 elsewhere
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