Problem 4 A population of 700 voters contains 308 Republicans, 385 Democrats, an

Question

Problem 4 A population of 700 voters contains 308 Republicans, 385 Democrats, and 7 independents and members of other parties. A simple random sample of 70 voters will be drawn from this population. The expected value of the number of Republicans in the sample is (Q5) 30.8 The chance the sample contains only Republicans and Democrats is (Q6) 0.494838659 Consider repeatedly drawing simple random samples of size 70 from the population (taking each simple random sample from the full population of 700 voters). The expected value of the number of simple random samples of size 70 that must be drawn until (and including) the first sample that contains at least one voter who is neither a Democrat nor a Republican is (Q7)

Explanation / Answer

Q7) Probability of getting a democrat or republic=693/700=0.99

Probability of getting atleast one independent voter in a sample of 70=1-(0.99)70=0.5052

Expected number of samples to be drawn to get atleast one independent voter equals 2.

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