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Y_Kistochka [10]
3 years ago
13

Report:

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Given : The Number of Correct Answers = 30

Given : Total Number of Questions = 40

⇒ The Number of Wrong Answers = (40 - 30) = 10

The Ratio of the Number of Correct Answers to Number of Wrong Answers is :

\mathsf{\implies \frac{30}{10}}

\mathsf{\implies 3 : 1}  (1st Blank)

The Ratio of the Number of Correct Answers to Total Number of Questions is :

\mathsf{\implies \frac{30}{40}}

\mathsf{\implies 3 : 4}

If there is 100 Questions on the test and the Ratio stayed the same, The Number of Questions he would have answered correctly is :

\mathsf{\implies \frac{3}{4} \times Total\;Number\;of\;Questions}

\mathsf{\implies \frac{3}{4} \times 100}

\mathsf{\implies (3 \times 25)}

\mathsf{\implies 75}  (2nd Blank)

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The sample proportion mean and standard deviation are

\mu=p=0.13\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }= \sqrt{\frac{0.13*0.87}{500} }=0.015

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We have a sample of 500 loans, of which a proportion of p=0.13 is expected to not be paid on time.

The sample proportion mean and standard deviation are

\mu=p=0.13\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }= \sqrt{\frac{0.13*0.87}{500} }=0.015

The assumptions underlying this model are:

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- Individual observations are independent of each other.

With reasonable assumptions about the sample, all the conditions are met.

What is the probability that over 16% of these clients will not make timely payments?

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The probability that over 16% of these clients will not make timely payments is P=0.023.

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