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muminat
3 years ago
7

He georgetown, south carolina, traffic division reported 40% of high-speed chases involving automobiles result in a minor or maj

or accident. during a month in which 50 high-speed chases occur, what is the probability that 25 or more will result in a minor or major accident?

Business
1 answer:
stellarik [79]3 years ago
4 0

Answer: The probability that 25 or more out of 50 high speed chases result in minor or major accidents is 0.097807364  or 9.781%.

The rate of accidents at 0.40 is a constant rate, and hence we can use the binomial distribution to calculate the probability.

The formula for computing the probability with the binomial distribution is:

P(X=x) = _{n}C_{x}*p^{x}*q^{n-x}

where

N  is number of trials  = 50

p is probability of of a hit in a single trial. In this case, p = 0.40

q is probability of of a miss in a single trial. Now q = 1 - p; q = 1 - 0.4 = 0.6 for this question

x will take on the whole numbers from 25  and continue upto 50

The questions asks us to compute the probability that 25 or more chases will result in an accident.  

We express this as P( X≥ 25) mathematically.

We can also express P( X≥ 25)  as P (x=25) + P(x=26) + ................ + P(50) i.e the sum of all the individual probabilities when x assumes each of the values from 25 upto 50.

That's why x will take on each of the whole numbers from 25 to 50.

We can compute P( X=25) by substituting the values in the formula above.

P(X=25) = _{50}C_{25}*0.4^{25}*0.6^{50-25}

P(X=25) = \frac{n!}{x!*(n-x)!}*0.4^{25}*0.6^{50-25}

P(X=25) = \frac{50!}{25!*(50-25)!}*0.4^{25}*0.6^{50-25}

P(x=25) = 0.040463604

Similarly we need to compute the probabilities for x =26, 27 and so on until x =50. The sum total of all these probabilities the answer.

The workings have been made in excel and are attached to this answer as a picture.

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Answer:

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Explanation:

The total par value of the preferred stock issue is $100 multiplied by 16,000 which gives $1,600,000 while the remaining $20 per share multiplied by 16,000 that gave rise $320,000 goes to the credit of paid-in capital in excess of par-preferred stock account.

Option A is wrong because the preferred has a par value of $100 hence the total cash proceeds cannot be posted to preferred stock account alone.

Option B is wrong because the excess of $20 per share cannot be posted to retained earnings since it is net income

7 0
2 years ago
Written communications fall into two categories: paper-based and electronic. Which of the following are paper-based messages? Ch
Harman [31]

Answer:

The correct answer is letter "B" and "C": Business letters; Interoffice memos.

Explanation:

Paper-based communications are means of transmitting information presented on paper. It is implemented in formal cases where there must be written support of a proposal or notification about the course of actions that will be taken in front of a claim case or problem, for instance. <em>Business letters </em>and<em> interoffice memos </em>fall under this category.

Electronic communication can be used at the corporate level as well but it has a certain degree of informality. <em>Instant messages</em> or <em>e-mails </em>are used to transmit different kinds of information within a firm.

5 0
3 years ago
Uppose a price floor on sparkling wine is proposed by the Health Minister of the country ofVinyardia. What will be the likely ef
Gekata [30.6K]

Answer:

C) Quantity demanded will decrease, quantity supplied will increase, and a surplus will result

Explanation:

Price floor is the least amount a good or service can be sold. A price floor is usually set above equilibrium price.

When a price floor is enacted, it usually discourages demand because prices are usually set higher and encourages supply.

As a result, quantity demanded will decrease, quantity supplied will increase, and a surplus will result.

I hope my answer helps you.

6 0
3 years ago
1-a. Allocate the lump-sum purchase price to the separate assets purchased. 1-b. Prepare the journal entry to record the purchas
marin [14]

Answer:

1. a. Allocated prices

First add the market values = 444,150 + 255,150 + 56,700 + 189,000 = $945,0

00

Building allocated price                                     Land allocated price

= 444,150/ 945,000 * 830,000                        = 255,150/945,000 * 830,000

= $‭390,100‬                                                           = $224,100

Land improvement allocated price                  Four vehicles allocate price

= 56,700/945,000 * 830,000                          = 189,000/945,000 * 830,000

= $49,800                                                        = $166,000

b. Journal entry

Date                 Account Details                             Debit                   Credit

Jan. 1, 2017      Building                                       $390,100

                        Land                                            $224,100

                        Land improvement                     $49,800

                        Vehicles                                      $166,000

                        Cash                                                                         $830,000

2. Depreciation on building using straight-line method.

= (390,100 - 28,000) / 15

= $‭24,140‬

3. Depreciation on land improvements using double declining method.

First do straight line:

= 49,800/ 5 years

= $9,960

Straight line rate of depreciation = 9,960/49,800 = 20%

Double declining will be twice that rate = 40%

Depreciation = 40% * 49,800

= $‭19,920‬

4 0
3 years ago
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MrRa [10]

The firm's MRP when it produces 44 units of output (from top to bottom) MRP, Regulated: 200, 160, 120, 80, 40.

<h3>What is output?</h3>
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  • Months or Years in production.
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  • Output is the complete opposite as it is the process of sending something.
  • Service is the productive outcome of  marketing channels that consumers value and desire.
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To learn more about output from the given link :

brainly.com/question/13736104

#SPJ4

6 0
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