For a series of dependent trials the probability of success on any trial is (k + 1) /(k + 2) where k is equal to the number of successes on the previous two trials. Compute P [success on the n th trial]. lim

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The joint probability mass function of x and y, p(x, y), is given by
1
p(1, 1) = -,
4
1
Р (2, 1) %3D
4
p(3, 1)
16
1
p(1, 2) =
16
1
p(3, 2) =
16
Р (2, 2) %3D 0,
1
р (2, 3) %3
16
1
Р (3, 3)
4
Р(1, 3) %3D 0,
Compute E[X |Y = i] fori = 1, 2, 3.
Find P[x/y=1]
Marginal distributions of X and Y.
For a series of dependent trials the probability of success on any trial is (k + 1) /(k + 2)
where k is equal to the number of successes on the previous two trials. Compute
4. а)
P [success on the n th trial].
lim
For a branching process, calculate n,
when
1
i)
P
P
2
3
1
P
5
1
ii)
%3D
%3D
%3D
5
5
1
P, =
6.
1
iii)
Po
2
3
Transcribed Image Text:The joint probability mass function of x and y, p(x, y), is given by 1 p(1, 1) = -, 4 1 Р (2, 1) %3D 4 p(3, 1) 16 1 p(1, 2) = 16 1 p(3, 2) = 16 Р (2, 2) %3D 0, 1 р (2, 3) %3 16 1 Р (3, 3) 4 Р(1, 3) %3D 0, Compute E[X |Y = i] fori = 1, 2, 3. Find P[x/y=1] Marginal distributions of X and Y. For a series of dependent trials the probability of success on any trial is (k + 1) /(k + 2) where k is equal to the number of successes on the previous two trials. Compute 4. а) P [success on the n th trial]. lim For a branching process, calculate n, when 1 i) P P 2 3 1 P 5 1 ii) %3D %3D %3D 5 5 1 P, = 6. 1 iii) Po 2 3
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