(1) Suppose we have a random sample of 6 people, in which each person can be...

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(1) Suppose we have a random sample of 6 people, in which each person can be infected independently with probability 1/3 Find the probability that at least two people are infected in this sample. (2) If X is the number of infected people in this sample, find the mean and the variance of X (3) If we have a random sample of 60 people, in which each person can be infected independently with probability 1/30, find the Poisson approximation that at least two people are infected in this sample. (4) If Y has a geometric distribution with p=1/3, find P(Y>3|Y>1) (1) Suppose we have a random sample of 6 people, in which each person can be infected independently with probability 1/3 Find the probability that at least two people are infected in this sample. (2) If X is the number of infected people in this sample, find the mean and the variance of X (3) If we have a random sample of 60 people, in which each person can be infected independently with probability 1/30, find the Poisson approximation that at least two people are infected in this sample. (4) If Y has a geometric distribution with p=1/3, find P(Y>3|Y>1)

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