Instructions For each question, your answer must be based on an analysis of cond
ID: 3241721 • Letter: I
Question
Instructions For each question, your answer must be based on an analysis of conditional probability and/or independence. You must state each event relevant to the problem under consideration, and the formulas you use. Just writing down an answer or calculation without basing it on the relevant formula(s) on probability and conditinoal probability will earn zero credit (even if the answer is correct).
5. According to a survey, in 1993, 52% of all media organizations had been served with subpoenas seeking unpublished photographs, reporters' notes, or testimony from journalists.[1] Assume that 80% of these subpoenas were issued to newspaper companies, even though only 50% of all news organizations were newspaper companies.
(a) Find the probability that a randomly selected news organization was served such a subpoena in 1993 and was a newspaper company.
(b) Find the probability that a randomly selected news organization was served such a subpoena in 1993 and was not a newspaper company.
Explanation / Answer
P(subpoenas given that it is a media organization)=0.52
P(subpoena issued to newspaper company)=0.8
P(newspaper company)=0.5
a) P(subpoenas given that it is a media organization)*P(subpoena issued to newspaper company)*P(newspaper company)=0.52*0.8*0.5=0.208
b) 1-0.208=0.792