A= X B(3,1/6)
B= X Geo (1/2)
Find
i) P(B>2)
ii) P(A=B)
thanks
Do you mean that A is a random variable that has a binomial distribution with n = 3 and p = 1/6?
Do oyu mean that B is a random variable that has a geometric distribution with p = 1/2?
If so, then:
i) Two options:
1. .
2. From the cdf, .
ii) Pr(A = B) = Pr(A = 1 | B = 1) Pr(B = 1) + Pr(A = 2 | B = 2) Pr(B = 2) + Pr(A = 3 | B = 3) Pr(B = 3)
Assuming A and B are independent:
= Pr(A = 1) Pr(B = 1) + Pr(A = 2) Pr(B = 2) + Pr(A = 3) Pr(B = 3)