1.Keeping in mind the central limit theorem and the law of large numbers, think about the exercise of polling voters to learn about their average ideology. Assess whether the following statements are true or false and provide an explanation.

a.As we make the poll bigger (i.e., ask more voters), the distribution of ideologies will begin to look like a normal distribution.

b.If we repeatedly poll a small number of voters, the distribution of the average ideology across these repeated polls will look like a normal distribution.

c.If we repeatedly poll a large number of voters, the distribution of the average ideology across these repeated polls will look like a normal distribution.