Edna is trying to pass a competency exam. Each time she takes the exam she has a 30% chance of passing. She is allowed a maximum of two attempts. Draw a tree diagram to represent her attempts to pass the exam and answer the following question (a) How many outcomes does your tree show?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Edna is trying to pass a competency exam. Each time she takes the exam she has a 30% chance of passing. She is allowed a maximum of two attempts. Draw a tree diagram to represent her attempts to pass the exam and answer the following questions.
(a) How many outcomes does your tree show?
3
(b) What is the probability she will eventually pass the exam?
(c) What is the probability she will take the exam exactly twice?
.7
(d) What is the expected value for the number of times she will take the exam?
(e) What is the expected value for the number of times she will fail the exam?
Transcribed Image Text:Edna is trying to pass a competency exam. Each time she takes the exam she has a 30% chance of passing. She is allowed a maximum of two attempts. Draw a tree diagram to represent her attempts to pass the exam and answer the following questions. (a) How many outcomes does your tree show? 3 (b) What is the probability she will eventually pass the exam? (c) What is the probability she will take the exam exactly twice? .7 (d) What is the expected value for the number of times she will take the exam? (e) What is the expected value for the number of times she will fail the exam?
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