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Ipatiy [6.2K]
2 years ago
15

In a radio station contest, the first prize is $2,000 and the second prize is $500. the probability of winning the first prize i

s 0.005 and the probability of winning the second prize is 0.008. the station runs this contest many, many times to increase its listening audience. what is the expected payout for each time the station offers the opportunity to win the prizes?
Business
1 answer:
abruzzese [7]2 years ago
3 0

The expected payout for each time the station offers the opportunity to win the prizes is $14.

What is the probability?

Probability is defined as the sum of all data and the number of all the data.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

In a radio station contest, the first prize is $2,000 and the second prize is $500.

The probability of winning the first prize is 0.005 and the probability of winning the second prize is 0.008.

The station runs this contest many, many times to increase its listening audience.

The expected payout for each time the station offers the opportunity to win the prizes is;

First prize × Probability of winning first prize + First prize ×Probability of winning second prize  

→2,000×0.005+500×0.008

→10+4

→14

Hence, The expected payout for each time the station offers the opportunity to win the prizes is $14.

Learn more about Probability :

brainly.com/question/13604758

#SPJ4

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An investment project has annual cash inflows of $4,200, $5,100, $6,300, and $5,500, and a discount rate of 15 percent. a. What
Naddika [18.5K]

Answer:

It will take 1 year and 307 days to cover the initial investment.

Explanation:

Giving the following information:

Initial investment= $6,900

Cash flows:

Cf1= $4,200

Cf2= $5,100

Cf3= $6,300

Cf4= $5,500

Discount rate= 15%

<u>The payback period is the time required to cover the initial investment. We need to discount each cash flow.</u>

<u></u>

Year 1= 4,200/1.15 - 6,900= -3,247.83

Year 2= 5,100/1.15^2 - 3,247.83= 608.50

<u>To be more accurate:</u>

(3,247.83 / 3,856.33)*365= 307 days

It will take 1 year and 307 days to cover the initial investment.

6 0
3 years ago
Effective managers understand the importance of clear communication using different channels to advance the _________ strategy.
algol13

Effective managers understand the importance of clear communication and hence use different channels to advance the<u> organizational communication strategy</u>

<u></u>

<h3>What is a communication strategy?</h3>

<u></u>

Communication strategy refers to the plans for speaking statistics associated with a selected issue, event, situation, or audience. They function as the blueprints for speaking with the public, stakeholders, or maybe colleagues.

<u></u>

Therefore, Effective managers understand the importance of clear communication and hence use different channels to advance the<u> organizational communication strategy</u>

<u></u>

Learn more about Communication strategy:

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4 0
2 years ago
Explain the role of an entrepreneur in the economy
Ostrovityanka [42]
To start their own business, usually this supports their local economy however still depending on their success. 
5 0
3 years ago
Hubert lives in San Francisco and runs a business that sells boats. In an average year, he receives $842,000 from selling boats.
aev [14]

Answer:

Explicit costs are normal costs of operating a business.

Implicit costs are opportunity costs meaning that they are the benefits foregone by engaging in a certain course of action.

The wholesale cost for the pianos that Hubert pays the manufacturer ⇒ EXPLICIT COST.

The salary Hubert could earn if he worked as an accountant ⇒ IMPLICIT COST.

The wages and utility bills that Hubert pays ⇒ EXPLICIT COST

The rental income Hubert could receive if he chose to rent out his showroom. ⇒ IMPLICIT COSTS

Accounting Profit = Revenue - Explicit costs

= 842,000 - 452,000 - 301,000

= $89,000

Economic Profit = Revenue - Explicit costs - Implicit costs

= 842,000 - 452,000 - 301,000 - 38,000 - 48,000

= $3,000

If Hubert's goal is to maximize his economic profit, he <u>should</u> stay in the piano business because the economic profit he would earn as an accountant would be -$3,000.

<em>Economic profit as accountant = Salary + rental income - accounting profit from piano</em>

<em>= 48,000 + 38,000 - 89,000</em>

<em>= -$3,000</em>

6 0
3 years ago
The Perez Lumber Company sells boards in a perfectly competitive market. The current marginal cost of boards at the current outp
mafiozo [28]

Answer:

c. decrease monthly output to 200 board feet.

Explanation:

If the firm wants to maximize profit it should decrease monthly output to 200 board feet demand by doing so , vital rate  will ultimately increase the cost of the product and shift them to the profit. The correct answer is C.

7 0
3 years ago
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