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Verizon [17]
3 years ago
12

Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distr

ibution in simulation modeling. It does not permit negative values. There is a 95% chance that values will be within ±2 standard deviations of the mean. The user must specify the maximum positive value allowed. It is obtained by the positive and negative square roots of a uniform random variable.
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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 question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

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goldfiish [28.3K]
Answer: 9 inches

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Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches
4 0
3 years ago
7. Sam lives exactly halfway between his friends, Danny and Leo. Danny's house is
geniusboy [140]

The point that Sam's house is located is at (2.5, -2)

<h3 /><h3>Midpoint of coordinate points</h3>

The formula for calculating the midpoint of coordinate is expressed as:

M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}

Given the coordinate between their locations at (-4, 4) and (-9, 8)

Determine the midpoint

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x =5/2 = 2.5

Similarly

y = 4-8/2

y = -4/2

y = -2

Hence the point that Sam's house is located is at (2.5, -2)

Learn more on midpoint here: brainly.com/question/5566419
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6 0
1 year ago
Fred Johnson total insurance premium is 1,200. His employer pays 60% of the total premium. How much does Fred pay?
Gnesinka [82]
We can set up a proportion to find this

60      x
---  = ----
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then we cross multiply and divide to solve

60 times 1200 is 72000 divided by 100 is 720

now we know his employer pays 720 out of 1200

we subtract to find out how much he pays

1200-720 is 480

fred pays 480
8 0
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Answer:

A, B, C, And D

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