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attashe74 [19]
3 years ago
7

in a year-long music course, you are required to attend 12 concerts. last season, the lengths of the concerts were 92, 101, 98,

112, 80, 119, 92, 90, 116, 106, 78, and 65 minutes. find the five-number summary for the data. which boxplot would best represent the data?
Mathematics
1 answer:
coldgirl [10]3 years ago
4 0
In order to choose the boxplot , you can follow this step :

- Determine the start point and the end point of the boxplot, 
You can do this by finding the smallest and the highest number. In this case, the start point will be : 65 , The end point will  be 119
- the next is found the box that cover other numbers, in this case, found the box that cover 90 to 116

And then pretty much it, hope this helps
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Answer:

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b.

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Answer:

a. 0.7291

b. 0.9968

c. 0.7259

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#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

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b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

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c. The probability of between 5 and 12 is calculated as;

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Hence, the probability of between 5 and 12 is 0.7259

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