Introductory Statistics Roll two fair dice. Each die has six faces.
Question # 00480103
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Updated on: 02/08/2017 05:02 AM Due on: 02/08/2017
Introductory Statistics Roll two fair dice. Each die has six faces.
Roll two fair die. Each die has six faces
a. 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.
At 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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Solution: Introductory Statistics Roll two fair dice. Each die has six faces.