A student is trying to pass a competency exam. Each time she takes the exam she has a 15% chance of passing. She is allowed a maximum of three attempts. Draw a tree diagram to represent her attempts to pass the exam and answer the followingquestions.(a) How many outcomes does your tree show?4(b) What is the probability she will eventually pass the exam?(c) What is the probability she will take the exam exactly three times?(d) What is the expected number of times she will take the exam?(e) What is the expected number of times she will fail the exam?

As per our guidelines, we are allowed to answer three sub-parts. Thanks a) How many outcomes does…

A student is trying to pass a competency exam. Each time she takes the exam she has a 15% chance of passing. She is allowed a maximum of three 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? (b) What is the probability she will eventually pass the exam? (c) What is the probability she will take the exam exactly three times?

A student is trying to pass a competency exam. Each time she takes the exam she has a 15% chance of passing. She is allowed a maximum of three 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? (b) What is the probability she will eventually pass the exam? (c) What is the probability she will take the exam exactly three times?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A student is trying to pass a competency exam. Each time she takes the exam she has a 15% chance of passing. She is allowed a maximum of three 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?
4
(b) What is the probability she will eventually pass the exam?
(c) What is the probability she will take the exam exactly three times?
(d) What is the expected number of times she will take the exam?
(e) What is the expected number of times she will fail the exam?

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