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aleksandr82 [10.1K]
3 years ago
7

The change in the value of an account when given to the nearest dollar ? Identify the set of numbers that best describes .

Mathematics
1 answer:
AveGali [126]3 years ago
7 0
When an account is rounded off to its nearest dollar will change based on the place value. For example, the given account of money if $ 56 730, then it will be rounded to its nearest ten thousands. Then the given amount will be rounded to $57,000 in where the given money rounded up and gain up to $300. But if the money will be rounded with its nearest hundreds, the money will become $ 56,700. Notice that the given money rounded down and lost $30 dollars.



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Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

64 questions.

So n = 64

5 possible answers, one correctly, chosen at random:

So p = \frac{1}{5} = 0.2

(a) What is your expected score on the exam?

E(X) = np = 64*0.2 = 12.8

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

V(X) = np(1-p) = 64*0.2*0.8 = 10.24

Variance 10.24

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2

Standard deviation 3.2

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Marysya12 [62]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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8 0
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