According to a survey conducted by the Pew Research Center, 19% of American adults receive their news in a partisan bubble (that is, Democrats from left-leaning news sources and Republicans from right-leaning news sources).
Suppose you select 42 Coker University students conduct a survey to determine whether they receive their news from partisan sources.
a. Identify n for the binomial experiment:
b. Identify p for the binomial experiment:
c. Find the expected value ?=?? of the binomial experiment. Do not round your answer.
d. Find the probability that 3 or fewer of the 42 students receive their news from a partisan source. Round your answer to 4 decimal places.
e. Suppose after completing the study, and finding that only 3 out of 42 students get their news from a partisan source, Coker University wants to advertise that their student body is better informed and more open to diversity of opinion than the national average. Are they justified in making this claim?
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