The actual proportion of voters who plan to vote for a particular proposition in the next election is 70%, but LaShandra does not know this. LaShandra has been hired by the election campaign to conduct a sample survey to estimate the proportion of voters who will vote for the proposition. LaShandra decides to take a random sample of size 121 from all eligible voters. 31. Draw a picture of the sampling distribution of p-hat. Give a mathematical expression for the mean of your distribution as well as the number. Also label the x-axis on your picture. Upload a photo or scan of your picture, or else create an electronic file and upload the file.

The total number of dental clinics total for the last 12 months was recorded

Tamar is measuring the sides and angles of tuv to determine whether it is congruent to the triangle below. which pair of measurements would eliminate the possibility that the triangles are congruent

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.