sejaltiwari666
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

weet Treats Company was interested in customers' orders. A population of customers was surveyed to determine the type of cupcake flavor and frosting flavor that was used. Given are the results of the survey in a two-way table.

Using this data, what is the empirical conditional probability that a customer who ordered a chocolate flavored cupcake had it with cream cheese frosting?
0.32
0.40
0.80
0.90

Weet Treats Company Was Interested In Customers Orders A Population Of Customers Was Surveyed To Determine The Type Of Cupcake Flavor And Frosting Flavor That W class=

Sagot :

semsee45

Answer:

A)  0.32

Step-by-step explanation:

To determine the empirical conditional probability that a customer who ordered a chocolate-flavored cupcake also had it with cream cheese frosting, we need to calculate the value that should be in the cell of the provided two-way table for Chocolate and Cream Cheese Frosting.

Chocolate cupcake with Buttercream Frosting

To find the probability that a customer who ordered a chocolate-flavored cupcake had it with buttercream frosting, subtract the probability of having the vanilla cupcake with buttercream frosting from the total buttercream frosting probability:

[tex]\sf \;\;\;\;P(\textsf{Chocolate cupcake with Buttercream Frosting})\\\\= P(\textsf{Buttercream Frosting}) - P(\textsf{Vanilla cupcake with Buttercream Frosting}) \\\\= 0.60 - 0.12\\\\= 0.48\\\\[/tex]

Chocolate cupcake with Cream Cheese Frosting

To find the probability that a customer who ordered a chocolate-flavored cupcake had it with cream cheese frosting, subtract the probability of having a chocolate cupcake with buttercream frosting from the total probability of chocolate-flavored cupcakes:

[tex]\sf \;\;\;\;P(\textsf{Chocolate cupcake with Cream Cheese Frosting})\\\\= P(\textsf{Chocolate cupcake}) - P(\textsf{Chocolate cupcake with Buttercream Frosting}) \\\\= 0.80 - 0.48\\\\= 0.32[/tex]

Therefore, the empirical conditional probability that a customer who ordered a chocolate-flavored cupcake had it with cream cheese frosting is:

[tex]\LARGE\boxed{0.32}[/tex]

View image semsee45
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.