Consider an election poll designed so that each household has an equal chance of being selected and one registered voter is interviewed from each selected household. analyze what would happen if single-voter households were more likely to vote democratic than households containing more than one registered voter. in particular: would the "percent voting democrat in the sample" be an unbiased estimator for the percent of all registered voters? if not, would it overestimate or underestimate this true percentage?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

Full year - williamshow many square inches are in 60 square feet? 5 square inches72 square inches720 square inche8.640 square inches

The product of 3 and a number increased by 8 is 31 written as an equation