Is the religious make-up of the United States Congress reflective of that in the general population? The following table shows the religious affiliation of the 535 members of the 114th Congress along with the religious affiliation of a random sample of 1200 adult Americans.

(a) Determine the probability distribution for the religious affiliation of the members of the 114th Congress.
(b) Assuming the distribution of the religious affiliation of the adult American population is the same as that of the Congress, determine the number of adult Americans we would expect for each religion from a random sample of 1200 individuals.
(c) The data in the third column represent the declared religion of a random sample of 1200 adult Americans (based on data obtained from Pew Research). Do the sample data suggest that the American population has the same distribution of religious affiliation as the 114th Congress?
(d) Explain what the results of your analysis suggest.