Consider the independent discrete random variables X, Y and Z, where G x (t) (0 7 0 3t) 3 G y (t) (0 3 0 7t) 4 G z (t) 3t 10 7t Find the probability generating function for the following a A 2X Y 1 b B X Y 3Z 4 c C 3X 2Y Z 1 ...

a GAt 07 03t6 03 07t8 03 07t4 2 ...

Consider the independent discrete random variables X, Y and Z, where: G x (t) = (0.7 +

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Consider the independent discrete random variables X, Y and Z, where:

G_x(t) = (0.7 + 0.3t)³

G_y(t) = (0.3 + 0.7t)⁴

G_z(t) = 3t/10 - 7t

Find the probability generating function for the following.

a. A = 2X + Y + 1

b. B = X - Y - 3Z + 4

c. C = 3X + 2Y + Z - 1

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Oct 06, 2021 12:46 AM

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Consider the independent discrete random variables X, Y and Z, where: G x (t) = (0.7 +

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Cambridge International AS & A Level Further Mathematics Coursebook

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