A political party finances its activities through a lottery. The lottery is organized so that each participant has the opportunity to win in three independent rounds. According to the advertising material from the party, there is a different chance of winning in the three rounds. If we denote the probability of winning in the first round with θ, the probability of winning in the second round is equal to 2θ, and in the third round 3θ. In both the second and third rounds, all participants have the same winning opportunities, regardless of whether they have already won in a previous round or not. We introduce the three random variables X1, X2, X3 which indicate whether you win in any of the three rounds. Each variable Xj is equal to 1 if the j-th round pays off, and 0 otherwise (a) Vis at disse har forventning og varians: E(Xj ) = jθ , V (Xj ) = jθ(1 − jθ), for j = 1, 2, 3.
A political party finances its activities through a lottery. The lottery is organized so that each participant has the opportunity to win in three independent rounds. According to the advertising material from the party, there is a different chance of winning in the three rounds. If we denote the
We introduce the three random variables X1, X2, X3 which indicate whether you win in any of the three rounds.
Each variable Xj is equal to 1 if the j-th round pays off, and 0 otherwise
(a) Vis at disse har forventning og varians:
E(Xj ) = jθ , V (Xj ) = jθ(1 − jθ),
for j = 1, 2, 3.
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