Question: Referring to Problem 7.1, what are the following probabilities for each case? (a)F X (X ¤ 2A,t = 4) (b)F X (X ¤ 0,t =

Referring to Problem 7.1, what are the following probabilities for each case?

(a)F_X(X ‰¤ 2A,t = 4)
(b)F_X(X ‰¤ 0,t = 4)
(c)F_X(X ‰¤ 2A,t = 2)

Data From Problem 7.1

A fair die is thrown. Depending on the number of spots on the up face, the following random processes are generated. Sketch several examples of sample functions for each case.

(a) 1 or 2 spots up 3 or 4 spots up 5 or 6 spots up 2A, X (t, 5) = { 0, -2A,

(b) 1 spot up 2 spots up ЗА, 2A, A, 3 spots up X (t, 5) = -A, 4 spots up -2A, 5 spots up -3A, 6 spots up

(c)

1 or 2 spots up 3 or 4 spots up 5 or

1 or 2 spots up 3 or 4 spots up 5 or 6 spots up 2A, X (t, 5) = { 0, -2A, 1 spot up 2 spots up , 2A, A, 3 spots up X (t, 5) = -A, 4 spots up -2A, 5 spots up -3A, 6 spots up

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