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-BARSIC- [3]
2 years ago
9

A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A

quality control consultant is to select 4 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 4 workers has the same chance of being selected as does any other group (drawing 4 slips without replacement from among 24).
Business
1 answer:
prisoha [69]2 years ago
7 0

Answer:

The answer is below

Explanation:

A What is the probability that all 4 selected workers will be the day shift?

B What is the probability that all 4 selected workers will be the same shift?

C What is the probability that at least two different shifts will be represented among the selected workers.

A)

The total number of workers = 10 + 8 + 6 = 24

The probability that all 4 selected workers will be the day shift is given as:

P_a=\frac{C(10,4)}{C(24,4)}= \frac{210}{10626}=0.0198

C(n,r)=\frac{n!}{(n-r)!r!}

B) The probability that all 4 selected workers will be the same shift (P_B) = probability that all 4 selected workers will be the day shift + probability that all 4 selected workers will be the swing shift + probability that all 4 selected workers will be the graveyard shift.

Hence:

P_B=\frac{C(10,4)}{C(24,4)}+\frac{C(8,4)}{C(24,4)}+\frac{C(6,4)}{C(24,4)}=0.0198+0.0066+0.0014=0.0278

C) The probability that at least two different shifts will be represented among the selected workers (P_C)= 1 - the probability that all 4 selected workers will be the same shift(P_B)

P_C=1-P_B\\\\P_C=1-0.0278\\\\P_C=0.972

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2 years ago
Craftwell Inc. pays a​ $0.75 dividend every quarter and will maintain this policy forever. What price should you pay for one sha
Advocard [28]

Answer:

Quarterly dividend (D) = $0.75

Annual return (Ke) = 10.5% = 0.105

Quarterly return = 0.105/4 = 0.02625

Current market price = <u>Quarterly dividend</u>

                                       Quarterly return

                                   =<u> $0.75</u>

                                       0.02625

                                  = $28.57

Explanation:

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3 0
3 years ago
Pina Colada Corp. had 150 units in beginning inventory at a total cost of $16,500. The company purchased 300 units at a total co
ICE Princess25 [194]

Answer:

FIFO = $17,000

LIFO = $9,350

Average-cost = $14,450

Explanation:

Initial inventory: 150 units, at a total cost of $16,500 ($110 per unit).

Purchases: 300 units, at a total cost of $60,000 ($200 per unit).

Final inventory: 85 units.

Unit sold: 150+300-85=365 units

FIFO (first in, first out)

In this method, we considered that the units that were first in the inventory were sold first.

Initial inventory:  150 u. x $110 per unit = $16,500      $16,500

Variations:           300u. x $200 per unit = $60,000   $76,500

                          -150 u. x $110 per unit = -$16.500      $60,000

                          -215 u. x $200 per unit = -$43,000   $17,000

Final inventory      85 u. x $200 per unit = $17,000

LIFO (last in, first out)

In this method, we considered that the first units that leave the inventory are the last that have arrived.

Initial inventory:  150 u. x $110 per unit = $16,500       $16,500

Variations:           300u. x $200 per unit = $60,000    $76,500

                          -300 u. x $200 per unit = -$60,000   $16,500

                          -65 u. x $110 per unit = -$7,150           $  9,350

Final inventory      85 u. x $110 per unit = $9,350

Average cost

In this method, every unit that left the inventory is valuated with an average-cost per unit of the inventory.

Initial inventory:  150 u. x $110 per unit = $16,500       $16,500

Variations:           300u. x $200 per unit = $60,000    $76,500

                          -365 u. x <em>$170*</em> per unit = -$62,050   $14,450

Final inventory      85 u. x $170 per unit = $14,450

<em>*average cost = (150*110+300*200)/(150+300)=76500/450=$170</em>

5 0
3 years ago
Read 2 more answers
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