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adelina 88 [10]

4 years ago

7

Suppose that blood chloride concentration (mmol/L) has a normal distri- bution with mean 104 and standard deviation 5 (informati

on in the article \Mathematical Model of Chloride Concentration in Human Blood," J. of Med. Engr. and Tech., 2006: 25{30, including a normal probability plot as described in Section 4.6, supports this assumption).
What is the probability that chloride concentration di ers from the mean by more than 1 standard deviation?

1 answer:

Andreyy894 years ago

5 0

Answer:

32% probability that chloride concentration differs from the mean by more than 1 standard deviation

Step-by-step explanation:

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

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

95% of the measures are within 2 standard deviation of the mean.

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

What is the probability that chloride concentration di ers from the mean by more than 1 standard deviation?

By the Empirical Rule, there is a 68% probability that the chloride concentration differs from the mean by one standard deviation or less.

100 - 68 = 32.

32% probability that chloride concentration differs from the mean by more than 1 standard deviation

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Y=-1/3x^2-4x-5 in vertex form

grigory [225]

Answer:

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Step-by-step explanation:

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We apply completing square method to do so.

We have

$Y=-\frac{1}{3}x^2-4x-5$

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Adding 36 to both sides.

$-3Y-15+36=x^2+12x+36$

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$-3Y+21=(x+6)^2$

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Dividing both sides by -3.

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4 years ago