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Anton [14]
3 years ago
8

Suppose 70% of all companies are classified as small companies and the rest as large companies. Suppose further, 82% of large co

mpanies provide training to employees, but only 18% of small companies provide training. A company is randomly selected without knowing if it is a large or small company; however, it is determined that the company provides training to employees.
What are the prior probabilities that the company is a large company or a small company? (Round the answers to 2 decimal place.)
p(small) =
p(large) =
What are the revised probabilities that the company is large or small? (Round your answers to 4 decimal places.) p(small) =
p(large) =
Based on your analysis, what is the overall percentage of companies that offer training? (Round your answer to 1 decimal place.)
Percentage = %
Business
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

a) p(small) = 0.126

 p(large) = 0.246

b) p(small) = 0.6613

 p(large) =  0.3387

c) 37.2%

Explanation:

<u>A) determine that the company picked is a large company or small company</u>

<u>condition : the company provides training to its employees</u>

Given data:

p( small ) = 0.7,  p( large ) = 0.3,  p( training ∩ small ) = 0.18,  p( training ∩ large ) = 0.82 ,  p( No-training ∩ small ) = 0.82 ,  p( no-training ∩ large ) = 0.18

<em>A) </em><em>hence the probability of picking a small company that provides training </em>

P( small | training ) =  P(Training ∩ Small)* P(Small) = 0.18 * 0.7 = 0.126

<em>Probability of picking a large company that provides training </em>

P( large | training ) = P(training ∩ Large) *P(Large) = 0.82 * 0.3 = 0.246

<u>B) Determine the revised probabilities that company picked is large or small </u>

Revised probability  for a large company; P( large | training  )

P(Large | training) = P(Large ∩ training) / P(training)

                              = 0.246 / ( 0.126 + 0.246 ) = 0.6613

P( small | training ) = P( small ∩ training ) / P(training )

                               = 0.126 / ( 0.126 + 0.246 ) = 0.3387

<u>C) Overall percentage of companies that offer training </u>

p( training ) = 0.126 + 0.246  = 0.372 = 37.2%

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This is the full question:

At the beginning of 2016, Air Asia purchased a used airplane at a cost of $40,000,000. Air Asia expects the plane to remain useful for eight years (5,000,000 miles) and to have a residual value of $5,000,000. Air Asia expects the plane to be flow 1,200,000 the first year and 1,400,000 the second year.

1) Compute second-year (2017) depreciation expense using the following methods

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b. Units-of-production

c. Double-declining-balance

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Answer:

Explanation:

1)a) Straight-line

Depreciable base = Cost of the Asset - Residual Value

                              = $40,000,000 - $5,000,000

                              = $35,000,000

Depreciation expense per year = Depreciable base / years of useful life

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                                                     = $4,375,000

The depreciation expense for the second year is = $4,375,000

                                                                                       

b) Units-of-production

Units of Production Rate = Depreciable Base / Units Over Useful Life

                                        = $35,000,000 / 5,000,000 miles

                                        = 7

Depreciation Expense = Units of Production Rate x Actual Units Produced

                                      = 7 x 1,400,000 miles in the second year

                                      = $9,800,000

c. Double-declining-balance

Double-declining balance = 2 x (Asset Cost - Residual Value ) / Useful Life of the Asset

                                           = 2 x ($40,000,000 - $5,000,000) / 8

                                           = $8,750,000

2) a) Straight-line Accumulated depreciation

We simply multiply the previous answer by two = $4,375,000 x 2

                                                                              = $8,750,000

2) b) Units-of-production Accumulated depreciation

First we find the depreciation expense for the first year using the same formula as above

= 7 x 1,200,000

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= $18,200,000

2) c) Double-declining-balance Accumulated depreciation

We simply multiply the first result by two = $8,750,000 x 2

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Explanation:

The Accounting equation for any entity is represented by the following equation:

Assets= Equity + Liability

When the entity receive any amount from customer in respect of the any credit sale made to him, the account receivable in the asset section will be decreased by the that amount and the cash section in the asset section will be increased by that amount.

In this case, Fitch supply services shall

Decrease the accounts receivable account in assets section of balance sheet by $1,000

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