Imtro2Stat week DF 3

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University of the People *

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1280

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Statistics

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Feb 20, 2024

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docx

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Uploaded by oluyemijoseph65

Discussion Forum Unit 3 Week 3 MATH 1280 – 01 Introduction to Statistics Discussion Forum Unit 3 Week 3 MATH 1280 – 01 Introduction to Statistics I dentify from your field of interest two events you would like to study. Since we are in class, I will like to use an example of education. I'd like to investigate the following two events: Event A: A student passes a math test. Event B: A student passes an English test. A scenario when the two events above will be considered mutually exclusive is: Only one test can be taken at a time by the student. The student can pass either the math or English test in this scenario, but not both. As a result, the two events cannot occur simultaneously. A scenario when the two events above will be considered independent is: The student's results on one test are independent of their results on the other. Describe a scenario when the two events above will be considered independent. What can you say about the main difference between a mutually exclusive event and an independent event? In this situation, the understudy can breeze through several related assessments and finish an English assessment, and the result of one occasion doesn't influence the result of the other. As a result, the two occurrences do not interact with one another. Describe a scenario when the two events above will be considered mutually exclusive. The main difference between events that are mutually exclusive and independent is that independent events can occur simultaneously but have no effect on mutually exclusive events. Fundamentally unrelated occasions have no likelihood of happening together, while free occasions have a likelihood of happening together that is equivalent to the result of their singular probabilities. On the off chance that A and B are unrelated occasions, P(A and B) = 0. P(A and B) = P(A) * P(B) if A and B are separate events. Reference:

Illowsky, B., Dean, S., Birmajer, D., Blount, B., Boyd, S., Einsohn, M., Helmreich, J., Kenyon, L., Lee, S., & Taub, J. (2022). Introductory statistics.

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