According to a research survey, 45 % of adults are pessimist…

According to a research survey, 45 % of adults are pessimistic about the future of the country.  That is based on a random sample of about 1400 people from a much larger body of adults.  Is it reasonable for the research team to use a Normal model for the sampling distribution of the sample proportion?  Why or why not?

The table shows the political affiliations of U.S. voters an…

The table shows the political affiliations of U.S. voters and their positions on supporting stronger immigration enforcement.                                                  Stronger Immigration Enforcement  Party      Favor     Oppose No Opinion      Republican      0.30       0.04     0.03      Democrat      0.22      0.11    0.02      Other      0.16      0.07     0.05   a.  What is the probability that a randomly chosen voter is a Republican?  (2 pts.) b.  What is the probability that a  randomly chosen voter favors stronger enforcement, given that he/she is a Republican?   Justify your answer.  (2 pts.) c.  What is the probability that a randomly chosen voter is Democrat, given that he/she favors stronger enforcement.? Justify your answer. (2 pts.) d.  Are being a Republican and favoring stronger enforcement independent events?  Justify your answer.  (2 pts.)