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Introductory Statistics Roll two fair dice. Each die has six faces.

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January 6th, 2018

Introductory Statistics Roll two fair dice. Each die has six faces.Roll two fair die. Each die has six facesa. List the sample space.b. Let A be the event that either a three or four is rolled first, followed by an even number. Find P(A).c. Let B be the event that the sum of the two rolls is at most seven. Find P(B).d. In words, explain what “P(A|B)” represents. Find P(A|B).e. Are A and B mutually exclusive events? Explain your answer in one to three complete sentences, including numerical justification.f. Are A and B independent events? Explain your answer in one to three complete sentences, including numerical justification.Introductory StatisticsAt a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.Find the probability that a course has a final exam or a research project.Find the probability that a course has NEITHER of these two requirements.

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