Step-by-step explanation:
6/24
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Answer: 0.00102%
Step-by-step explanation:
Given : Human body temperatures are normally distributed with a mean of
and a standard deviation of ![s=0.61^{\circ}F](https://tex.z-dn.net/?f=s%3D0.61%5E%7B%5Ccirc%7DF)
A hospital uses
as the lowest temperature considered to be a fever.
Let x be the random variable that represents the human body temperatures.
![z=\dfrac{x-\mu}{s}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7Bs%7D)
For x= 100.6, ![z=\dfrac{100.6-98}{0.61}=4.26229508197\approx4.26](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B100.6-98%7D%7B0.61%7D%3D4.26229508197%5Capprox4.26)
Using normal distribution table for z-values for right-tailed area ,
P(x>100.6)=![P(Z>4.26)=0.0000102=0.00102\%](https://tex.z-dn.net/?f=P%28Z%3E4.26%29%3D0.0000102%3D0.00102%5C%25)
Hence, the required probability = 0.00102%
Answer:
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