For customers purchasing a refrigerator at a certainappli

Chapter 2, Problem 63

(choose chapter or problem)

For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are

\(\begin{array}{l} P(A)=.75 \quad P(B \mid A)=.9 \quad P\left(B \mid A^{\prime}\right)=.8\\ P(C \mid A \cap B)=.8 \quad P\left(C \mid A \cap B^{\prime}\right)=.6\\ P\left(C \mid A^{\prime} \cap B\right)=.7 \quad P\left(C \mid A^{\prime} \cap B^{\prime}\right)=.3 \end{array} \)

a. Construct a tree diagram consisting of first-, second-, and third-generation branches, and place an event label and appropriate probability next to each branch.

b. Compute \(P(A \cap B \cap C)\).

c. Compute \(P(B \cap C)\).

d. Compute P(C).

e. Compute \(P(A|B \cap C)\), the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased.

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back