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arsen [322]
2 years ago
12

The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o

f $43. All of the income tax returns claiming the largest 0.15 % of refunds will be audited. Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
Mathematics
1 answer:
Andrej [43]2 years ago
5 0

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

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2 years ago
Frank's toy car is 19 centimeters long. Max's
jeka94

Answer:

Pertaining to the yielded interrogate, the retort is 6.30.

Step-by-step explanation:

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3 years ago
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3 years ago
What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.
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check the attachment for detailed explanation

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