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...
icon
Related questions
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?
Transcribed Image Text: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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Tree
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON