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Bess [88]
2 years ago
12

In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsour

cing is not without problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected. Based on the relevant binomial distribution, what is the probability that exactly five companies that outsource overseas use a consultant? [ Round your answer to 4 decimal places] Group of answer choices 0.1032 0.1101 0.9389 .2041
Mathematics
1 answer:
Sliva [168]2 years ago
4 0

Answer:

P(X=5)=0.1032

Step-by-step explanation:

This variable can be modeled by a binomial distribution, with parameters n=15 (sample size) and p=0.2 (the individual probability that the company use a consultant).

The probability that k companies that outsource overseas use a consultant can be written as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{15}{k} 0.2^{k} 0.8^{15-k}\\\\\\

Then, the probability that exactly five companies that outsource overseas use a consultant is:

P(x=5) = \dbinom{15}{5} p^{5}(1-p)^{10}=3003*0.0003*0.1074=0.1032\\\\\\

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s344n2d4d5 [400]
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A linear equation can be defined 
y=mx+b
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b=initial value (when x=0), and
m=rate of increase or decrease.

In the given example, the x-axis represents hour, and the y-axis, number of cells.

Chemical #1 
initial value = b = 12000 cells
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Similarly, for chemical #2
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rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)

The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when  y1=y2
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x=6 hours.

At 6 hours from the start, 
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Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2

Therefore, after three hours, both trials will have zero cells.

You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.


6 0
3 years ago
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