1 answer

[1] The joint probability mass function of two discrete random variables A and B is 0,...

Question:

[1] The joint probability mass function of two discrete random variables A and B is 0, Pab(a,b) = Sca²b, a = -2, 2 and b = 1,

[1] The joint probability mass function of two discrete random variables A and B is 0, Pab(a,b) = Sca²b, a = -2, 2 and b = 1,2 otherwise Clearly stating your reasons, answer the following two (i) Are A and B are uncorrelated? (ii) Are A and B independent?

Answers

Given, PB (aib) - Sca²b , a = -2, 2 and 6-1,2 0 otherwise EE ca²b = - 1 c E Ea? b = 1 a a b 10 CECO (ax 1 + a² x 2) = 1 ☆c &10 B 6 N. 6 3 j CON o 2 Abo I ECB)= b.p (b) b, b) Sb 3 (②) 3 E(AB) Σ Σ ab. b 시 1510A 53 3 Pae (a1b A) Botoloros a a 3 2. 동 a6(i) if A and B are uncorrelated, then, COV CAB) = 0 That is ECABO - ECA). ECB) = 6 Here, E CAB) - ECA).</p><p>ECB) = 0 - 70 x 5) i

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