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-BARSIC- [3]
3 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]3 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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Answer:

Jones is liable to pay.

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Explanation:

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  • In the question above, Smith is a CPA. He is qualified in every respect to carry out Professional Tax services. His services may be relied upon with a great degree of confidence.
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This type of agreement is also considered a quasi-contract. A quasi-contract occurs where the law imposes an obligation upon the parties where in fact the parties did not intend to enter into a contract and made no promise to perform.

However, because one party would be unjustly enriched by another party’s action, the beneficiary of those actions must make restitution or pay fair value for the services provided, even though there was never any intention to enter into an agreement.

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