1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
monitta
3 years ago
14

For customers purchasing a refrigerator at a certain appliancestore, let A be the event that the refrigerator wasmanufactured in

the U.S., B be the event that therefrigerator had an icemaker, and C be the event that thecustomer purchased an extended warranty. Relevant probabilities arebelow.
(a) Construct a tree diagram consisting of first-, second-, andthird-generation branches and place an event label and appropriateprobability next to each branch.

(b) Compute P(A intersectB intersectC).

(c) Compute P(B intersectC).
2

(d) Compute P(C).
3

(e) Compute P(A | B intersectC), theprobability of a U.S. purchase given that an icemaker and extendedwarranty are also purchased.


P(A) = 0.73 P(B | A) = 0.90 P(B | A' ) =0.76
P(C | A intersectB) =0.84 P(C | A intersectB' ) =0.65
P(C | A' intersectB) =0.71 P(C | A' intersectB' ) =0.32

Business
1 answer:
V125BC [204]3 years ago
6 0

Answer:

Part a : The tree diagram is attached with the solution.

Part b: The probability of P(A∩B∩C) is 0.5519.

Part c: The probability of P(B∩C) is 0.6976.

Part d: The probability of P(C) is 0.7658.​

Part e: The probability of P(A∣B∩C) is 0.7658.​

Explanation:

The solution is as follows.

Data Given is as

P(A) = 0.73

P(B | A) = 0.90

P(B | A' ) =0.76

P(C | A∩B) =0.84

P(C | A∩B' ) =0.65

P(C | A' ∩B) =0.71

P(C | A' ∩B' ) =0.32

Part a:

The remaining values of Probabilities for the tree formation are calculated as follows

P(A')=1-P(A)=1-0.73=0.27

P(B'|A)=1-P(B|A)=1-0.90=0.10

P(B' | A' )=1-P(B | A' ) =1-0.76=0.24

P(C' | A∩B) =1-P(C | A∩B)=1-0.84=0.16

P(C' | A∩B' ) =1-P(C | A∩B' ) =1-0.65=0.35

P(C' | A' ∩B) =1-P(C | A' ∩B) =1-0.71=0.29

P(C' | A' ∩B' ) =1-P(C | A' ∩B' )=1-0.32=0.68

so the probability tree is given as attached in the diagram.

Part b:

P(A∩B∩C)=P(A)P(B∣A)P(C∣A∩B)

From the above data in part a

P(A)=0.73, P(B|A)=0.90 and P(C∣A∩B)=0.84

                =0.73×0.90×0.84

               =0.55188

               ≈0.5519

The probability of P(A∩B∩C) is 0.5519.

Part c

P(B∩C)=P(A∩B∩C)+P(A'∩B∩C)

           = [P(A)P(B∣A)P(C∣A∩B)+{1−P(A)}P(B∣A′)P(C∣A′∩B)]

From the above data

P(A)=0.73,P(B∣A)=0.9,P(C∣A∩B)=0.84,P(B∣A′)=0.76 and P(C∣A′∩B)=0.71

P(B∩C)= [P(A)P(B∣A)P(C∣A∩B)+{1−P(A)}P(B∣A′)P(C∣A′∩B)]

           =(0.73×0.9×0.84)+(1−0.73)×0.76×0.71

           =0.55188+0.145692

           =0.697572

           ≈0.6976

The probability of P(B∩C) is 0.6976.

Part d

P(C)=P(A∩B∩C)+P(A′∩B∩C)+P(A∩B ′∩C)+P(A′∩B ′∩C)

      =P(A)P(B∣A)P(C∣A∩B)+[1−P(A)]P(B∣A′)P(C∣A′∩B)+P(A)[1−P(B∣A)]P(C∣A∩B′)+            

        [1−P(A)][1−P(B∣A′)]P(C∣A′∩B′)

Here from above data

P(A)=0.73,P(B∣A)=0.9,P(C∣A∩B)=0.84,P(B∣A′)=0.76,P(C∣A∩B′)=0.65,P(C∣A′∩B′)=0.32 and P(C∣A′∩B)=0.71

P(C)=P(A)P(B∣A)P(C∣A∩B)+[1−P(A)]P(B∣A′)P(C∣A′∩B)+P(A)[1−P(B∣A)]P(C∣A∩B′)+            

        [1−P(A)][1−P(B∣A′)]P(C∣A′∩B′)

     ={0.7x0.9x0.84}+{(1-0.73)x0.76×0.71}+{0.73x(1-0.9)x0.32}+{(1-0.73)x(1-          

       0.76)x0.32}

     =0.55188+0.145692+0.04745+0.020736

     =0.765758

     ≈0.7658

The probability of P(C) is 0.7658.​

Part e

From part (b),P(A∩B∩C)=0.55188

From part (c), P(B∩C)=0.697572

<em>By  conditional probability rule, </em>

P(A∣B∩C)= P(A∩B∩C)/P(B∩C)

​        = 0.55188/0.697572

              =0.791144

             ≈0.7911

The probability of P(A∣B∩C) is 0.7658.​

​

​

​

You might be interested in
The Walt Disney Company dress code requires male cast members with mustaches or beards to trim their facial hair to no longer th
Charra [1.4K]

Answer:

tangibles

Explanation:

According to my research on different characteristic terminology, I can say that based on the information provided within the question The Walt Disney Company's dress code reflects the tangibles dimension of service quality. This is because tangibles are the physical things that can be felt and reflect the organization or company.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
Read 2 more answers
Lisa has $1,000 in cash today. Which one of the following investment options is most apt to double her money? A. 6 percent inter
Zepler [3.9K]

Answer:

D. 8 percent interest for 9 years

Explanation:

We would use the formula future value formula below to determine which of the investment options would double her money:

FV=PV*(1+r)^n

PV is the amount invested which is $1000

r is the interest rate expected to be earned while n is the number of years First option:

FV=$1000*(1+6%)^3

FV=$1,191.02  

Second option:

FV=$1000*(1+12%)^5

FV=$1,762.34  

Third option:

FV=$1000*(1+7%)^9

FV=$ 1,838.46  

Fourth option:

FV=$1000*(1+8%)^9

FV=$2000

Last option:

FV=$1000*(1+6%)^10

FV=$ 1,790.85  

8 0
3 years ago
Craig is a salesperson for an industrial equipment company. Craig calls on factories and spends most of his time talking with eq
julsineya [31]

Answer:

Identify managers and people with authority to decide the purchase.

Explanation:

When you work with an opportunity to sell an important part of your work, to be able to advance until closing, it is to be able to interview the person or people with the power to decide the purchase.

If you discover during your first interviews that the person with whom you initially contacted does not have the authority or influence over the purchase decision, then you need this person to promote your access to the person with the true power to decide. In many cases this is very easy to achieve, but in other cases, you will need to negotiate access to the sphere of power. The most powerful tool at your disposal to negotiate this access is to have created a vision of the solution to your problems in the mind of your interlocutor. Once you have created a vision of the solution, we can say that this person already has a clear idea about how to solve their problems and improve the current situation of the company. You must become a promoter of your solution within your company and serve as an engine to promote your offer in front of the decision group.

5 0
3 years ago
A corporation can earn 7.5% if it invests in municipal bonds. The corporation can also earn 8.30% (before-tax) by investing in p
Kryger [21]

Answer:

32.13%

Explanation:

The computation of the break-even corporate tax is shown below:

As we know that

Municipal bond return = preferred stock return before tax  × [1 - (1 - dividend exclusion) × Break even corporate tax]

7.5 = 8.30 ×  [1 - ( 1 - 0.70) × Break even corporate tax ]

7.5 ÷ 8.30 = 1 - 0.30 × Break even corporate tax

0.9036 = 1 - 0.30 × Break even corporate tax

0.30 × Break even corporate tax = 1 - 0.9036

So, Break even corporate tax is

= 0.0964 ÷ 0.30

= 32.13%

Basically we applied the above formula

3 0
3 years ago
Which of the following best characterizes the factors involved in a cost-benefit analysis?
artcher [175]

Answer:

The option there are both monetary and non-monetary considerations that must be taken into account, is the best option that characterizes the factors involved in a cost-benefit analysis.

please follow je

3 0
3 years ago
Other questions:
  • Who sells dragon scales? Ya know like the ones ya put on chainmail. I need to know like soon.
    13·1 answer
  • Echo Sound Company just began business and made the following four inventory purchases in June: June 1 150 units $ 780 June 10 2
    13·1 answer
  • School teachers, counselors, and job placement centers can help you _____. a. place a classified job advertisement b. identify j
    13·2 answers
  • In preparing a statement of cash flows using the indirect​method, the Depreciation Expense​ ________
    15·2 answers
  • A checkmark in the PR column in the general journal means the?
    14·1 answer
  • If the coupon interest rate remains constant from the time of issue until the bond matures, then the bond is called afixed-rate
    15·1 answer
  • Use the following items to determine the total assets, total liabilities, net worth, total cash inflows, and total cash outflows
    15·1 answer
  • Clemson University Urgently needed $30 million to properly execute a student testing plan during fall of 2020. Clemson approache
    6·1 answer
  • Syncadia Inc. believes in focusing on hiring the best talent rather than hoping to develop mediocre talent over time. It can be
    14·1 answer
  • Scott is a 15-year-old student who works at a part-time job and gets paid every two weeks. His paycheck goes directly to his pre
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!