Question

A population of 900 voters contains 369 Republicans, 468 Democrats, and 63 independents and members of other parties. A simple random sample of 90 voters will be drawn from this population.The expected value of the number of Republicans in the sample is? (Q)____________The chance the sample contains only Republicans and Democrats is? (Q)___________Consider repeatedly drawing simple random samples of size 90 from the population (taking each simple random sample from the full population of 900 voters). The expected value of the number of simple random samples of size 90 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? (Q)_____________

Answer 1

Explanation:

Total voters = 900

Republicians =369

Democrats =468

Independents = 63

Sample size n =90

a) The expected value of the number of Republicans in the sample is

=
`(90*369)/(900) =36.90`

b) The chance the sample contains only Republicans and Democrats is

= (no of republicians+democrats)/total people

=
`(369+468)/(900) =0.93`

c)