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prohojiy [21]
3 years ago
9

Drawing tree diagrams. After taking a course on statistics, 88% of students can successfully construct tree diagrams. Of those w

ho can construct tree diagrams, 90% passed, while only 60% of those students who could not construct tree diagrams passed. a) Construct a tree diagram of this scenario. ? You can do it electronically using e.g. PowerPoint, or draw freehand and scan the image. b) Calculate the probability that a student is able to construct a tree diagram if it is known that he or she passed.

Business
1 answer:
Yuliya22 [10]3 years ago
4 0

Answer:

A. Check the image

B. The probability that a student is able to construct a tree diagram if it is known that he or she passed is 79.2%

Explanation:

a) A tree diagram is a tool that simplifies the distribution of probabilities. So we start making branches (lines) according to the probability of each succes to happen, so in this case we first divide the tree diagram between those who can construct tree diagrams that represent the 88% so it means it has a probability of 0.88 and those who can't construct tree diagrams, so if 88% can  just 12% can't construct tree diagrams that is a probability of 0.12.  This is the first part of the tree diagram.

After that tere is another condition that is passing so for those who construct it is the 90% (0.9 probability) for passing, so in this group it is just 10% (0.1 probability) that doesn't pass. Now for those who don't construct tree diagrams, 60% (0.6 probability) pass so 40% losses (0.4)

See in the diagram that if you add the numbers that compound each of the vertices the result is a 100% or 1.0 probability, this is what you have to take into account when you are constructing a tree diagram.

b) For calculating a probability after constructing the tree diagram you just need to multiply each of the factor in which you are interested. In this case:

Construct tree diagram X Pass = 0.88 x 0.9 = 0.792

So the probability for a student that can construct a tree diagram to pass is 0.792, now for having in percentage we just need to multiply by 100% then:

0.792 x 100 = 79.2%

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Consumption of Fixed Capital$25Government Purchases315US imports260Personal Taxes45Transfer Payments247US Exports249Personal Con
morpeh [17]

Answer:

$1,079 billion

Explanation:

Calculation to determine what Gross domestic product is

Using this formula

Gross domestic product = Personal Consumption Expenditures + Gross Private Domestic Investment + Government Purchases + Net exports

Let plug in the formula

Gross domestic product = $475 + $300 + $315 + ($249 - $260)

Gross domestic product =$475 + $300 + $315 + +$11

Gross domestic product = $1,079 billion

Therefore Gross domestic product is $1,079 billion

8 0
3 years ago
You have just won the lottery and will receive $530,000 in one year. You will receive payments for 25 years, and the payments wi
polet [3.4K]

Answer:

Present value= $3,642,651.54

Explanation:

Giving the following information:

You have just won the lottery and will receive $530,000 in one year. You will receive payments for 25 years, and the payments will increase by 4 percent per year. The appropriate discount rate is 10 percent.

First, we need to calculate the final value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual payment= 530,000

i= 0.04 + 0.10= 0.14

n= 25

FV= {530,000*[(1.14^25)-1]}/0.14

FV= 96,391,538.43

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 96,391,538.43/ (1.14^25)

PV= $3,642,651.54

7 0
3 years ago
Name and briefly describe the three essential principles of test construction
Alika [10]
Three essential <span>principles of test construction are:
1. consistency. It refers  to the consistency </span><span>between the goal of the subject, course, and the methods of teaching goals. Also consistency between the methods and what the test measures. </span><span>
2. validity. Validity refers to t</span>he ability of a test to measure what it was designed to measure. It can be material od skill.
3. reliability. The <span>test must be constructed in such a way that it will produce reliable, consistent results .</span>
7 0
3 years ago
Starting an investment portfolio at a young age means
MissTica

Answer:

c. There is greater potential for high yield over a longer period

Explanation:

4 0
3 years ago
Sana gill deposited $3,500 into a new business checking account to begin her new bookkeeping firm, gill bookkeeping. this busine
OLga [1]

Sana Gill deposited $3500 into a new business checking account to begin her new bookkeeping firm, Gill Bookkeeping. This business transaction would increase the company's cash, and increase Sana Gill's Capital.

<h3>A business transaction is what?</h3>

A financial exchange of commodities, money, or services between two or more people is referred to as a business transaction. A commercial exchange must have a measurable monetary value in order to be considered a transaction for accounting purposes. Business dealings will have an impact on the company's finances.

A long-term service contract might be as complicated as a business transaction, or it can be as simple as a cash purchase. The following requirements must be met for a transaction to qualify as a commercial transaction:

  • The deal can be valued financially.
  • The company and the third party engage in the transaction.
  • The deal is made on behalf of the company and not for a person's personal benefit.

To know more about "Business transaction" , visit : brainly.com/question/19512243

#SPJ4

4 0
1 year ago
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