What is the p.m.f. (Probability Mass Function) for A1, where A1 equals B1 minus B2 and we are given that Bi ∼ Ber(p).
PMF of Bi is given by,
P(Bi=0) = 1-p
P(Bi=1) = p
A1=B1-B2
A1 can take values -1,0 or 1
P(A1 = -1) = P(B1=0) * P(B2=1)
= (1-p)*p = p-p^2
P(A2 = 0) = P(B1=0) * P(B2=0) + P(B1=1) * P(B2=1)
= (1-p)*(1-p)+p*p = 1-2p+p^2+p^2 = 1-2p+2p^2
P(A1 = 1) = P(B1=1) * P(B2=0)
= p*(1-p) = p-p^2
What is the p.m.f. (Probability Mass Function) for A1, where A1 equals B1 minus B2 and we...
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