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3 years ago

Basil steps on a nail at a construction site. he is at risk of contracting: tetanus whooping cough typhus tuberculosis

Health

1 answer:

valina [46]3 years ago

5 0

<span>Basil steps on a nail at a construction site. he is at risk of contracting:
tetanus </span>

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According to the National Health Survey, the heights of adult males in the United States are normally distributed with mean 69.0

liberstina [14]

Answer: (a) 0.927

(b) 14.2%

Explanation:

Given : According to the National Health Survey, the heights of adult males in the United States are normally distributed .

Mean : $\mu=69$

Standard deviation : $\sigma=2.8$

Let X be a random variable that represents the heights of adult males in the United States .

Z-score : $z=\dfrac{x-\mu}{\sigma}$

(a) For x= 64

$z=\dfrac{64-69}{2.8}\approx-1.79$

For x= 74

$z=\dfrac{74-69}{2.8}\approx1.79$

Using the standard normal distribution table , we have

The deviation 2.8 inches. (a) What is the probability that an adult male chosen at random is between 64 and 74 inches tall :-

$P(64$

Hence, the probability that an adult male chosen at random is between 64 and 74 inches tall = 0.927

b) Since 1 feet = 12 inches

Then , 6 feet = $6\times12=72\text{ inches}$

The z-score corresponds to x=72 :

$z=\dfrac{72-69}{2.8}\approx1.07$

Then , the probability that the adult male population is more than 6 feet tall :-

$P(x>72)=P(z>1.07)=1-P(z$

Hence, the percentage of the adult male population is more than 6 feet tall = 14.2%

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