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Majority of the sample

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A population of 50 registered voters contains 30 in favor of proposition 134 and 20 opposed. An opinion survey selects a random sample of 4 voters from this population, as follows. One person is picked at random from the 50 voters, then another at random from the remaining 49, and so on, till 4 have been picked

a) What is the probability that there will be no one in favor of 134 in the sample?

b) What is the probability that there will be at least one person in favor?

c) What is the probability that exactly one pro 134 person will in the sample?

d) What is the probability that the majority of the sample will be pro 134? (Majority means strictly more than half.)

Reference no: EM131796663

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