08.07.2021

10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of polymer B, and 32 fibers of polymer C. a. What is the probability that the sample does not contain any fibers of polymer B

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Step-by-step answer

24.06.2023, solved by verified expert
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0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36 is the number of different combinations of x objects from a set of n elements, given by the following formula.

10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36

In this question:

Fibers are chosen without replacement, which means that we use the hypergeometric distribution.

92 fibers means that 10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36

Sample of 10 means that 10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36

No polymeter B which means that 10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36

17 fibers of polymeter B which means that 10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36

a. What is the probability that the sample does not contain any fibers of polymer B

This is P(X = 0).

10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36

10. A random sample of 10 fibers is taken from, №17887389, 08.07.2021 13:36

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
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P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
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P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 

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