If X Poisson(X) ~ Prove that the probability that the variable takes on an odd value is (1 - e-2) 1 X = x : x = 2k + 1, k € Z¹) = (1. - e e-21)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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SOLVE STEP BY STEP IN DIGITAL FORMAT
3. If X Poisson(X)
Prove that the probability that the variable takes on an odd value is (1 - e-²x)
P(X = x : x = 2k + 1, k € Z+) = − (1 — e−²¹)
1
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT 3. If X Poisson(X) Prove that the probability that the variable takes on an odd value is (1 - e-²x) P(X = x : x = 2k + 1, k € Z+) = − (1 — e−²¹) 1
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