There're 5.2 liters of blood in an average person's system. Assume, that the variable is normally distributed. The standard deviation is 0.3. What is the percentage of people with less than 5.4 liters in their system?

There're 5.2 liters of blood in an average person's system. Assume, that the variable is normally distributed. The standard deviation is 0.3. What is the percentage of people with less than 5.4 liters in their system?

Question
Data distributions
asked 2020-12-09
There're 5.2 liters of blood in an average person's system. Assume, that the variable is normally distributed. The standard deviation is 0.3. What is the percentage of people with less than 5.4 liters in their system?

Answers (1)

2020-12-10
Given:
\(\displaystyle\mu={5.2}\)
\(\displaystyle\sigma={0.3}\)
x=5.4
\(\displaystyle{z}=\frac{{{x}-\mu}}{\sigma}\)
\(\displaystyle=\frac{{{5.4}-{5.2}}}{{0.3}}\)
\(\displaystyle\approx{0.67}\)
Use the normal probability table in the appendix to determine the corresponding probability. P(z
P(x
=74.86%
Approximately 74.86% of people have less than 5.4 liters of blood.
0

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