Part 2: Tree diagrams & Venn diagrams Suppose that a local coffee shop offers two types of coffee blends: Light Roast and Dark Roast. Each day, there is a 70% chance that a customer orders a Light Roast and a 30% chance that a customer orders a Dark Roast. For customers who order a Light Roast, there is a 60% chance that they add sugar to their coffee and a 40% chance that they do not add sugar. For customers who order a Dark Roast, there is a 40% chance that they add sugar to their coffee and a 60% chance that they do not add sugar. 1. Sketch a tree diagram that shows all the possible outcomes of a customer's coffee order and the associated probabilities. For problems 2 through 4, you must show all of your work. Round all probabilities, if needed, to four decimal places. 2. What is the probability that a customer orders a Light Roast and adds sugar to their coffee? 3. What is the probability that a customer does not add sugar to their coffee, regardless of which type of coffee they ordered? 4. What is the probability that a customer orders a Dark Roast, given that they did not add sugar to their coffee?
Part 2: Tree diagrams & Venn diagrams Suppose that a local coffee shop offers two types of coffee blends: Light Roast and Dark Roast. Each day, there is a 70% chance that a customer orders a Light Roast and a 30% chance that a customer orders a Dark Roast. For customers who order a Light Roast, there is a 60% chance that they add sugar to their coffee and a 40% chance that they do not add sugar. For customers who order a Dark Roast, there is a 40% chance that they add sugar to their coffee and a 60% chance that they do not add sugar. 1. Sketch a tree diagram that shows all the possible outcomes of a customer's coffee order and the associated probabilities. For problems 2 through 4, you must show all of your work. Round all probabilities, if needed, to four decimal places. 2. What is the probability that a customer orders a Light Roast and adds sugar to their coffee? 3. What is the probability that a customer does not add sugar to their coffee, regardless of which type of coffee they ordered? 4. What is the probability that a customer orders a Dark Roast, given that they did not add sugar to their coffee?
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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Hello. I need help with the following homework assignment, please answer questions 1-4 with step by step directions so that I may refer back to and take notes. Thank you
Transcribed Image Text:Part 2: Tree diagrams & Venn diagrams
Suppose that a local coffee shop offers two types of coffee blends: Light Roast and Dark Roast. Each day, there is
a 70% chance that a customer orders a Light Roast and a 30% chance that a customer orders a Dark Roast. For
customers who order a Light Roast, there is a 60% chance that they add sugar to their coffee and a 40% chance
that they do not add sugar. For customers who order a Dark Roast, there is a 40% chance that they add sugar to
their coffee and a 60% chance that they do not add sugar.
1. Sketch a tree diagram that shows all the possible outcomes of a customer's coffee order and the
associated probabilities.
For problems 2 through 4, you must show all of your work. Round all probabilities, if needed, to four decimal
places.
2. What is the probability that a customer orders a Light Roast and adds sugar to their coffee?
3. What is the probability that a customer does not add sugar to their coffee, regardless of which type of
coffee they ordered?
4. What is the probability that a customer orders a Dark Roast, given that they did not add sugar to their
coffee?
Guided Notes Check
As part of this online course, you are required to take notes while watching the videos. This is equivalent
to attending class. This week, attach the following pages to the lab:
Page 59
Page 61
Page 63
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