The distribution of total body protein in adult men with liver cirrhosis is approximately Normal with mean 9.8 kg and standard deviation 0.1 kg.
What is the approximate probability that a randomly selected man with liver cirrhosis has a total body protein of 9.75 kg or greater?

Question

Quizplus · Accepted Answer

We need to find the probability that a man with liver cirrhosis has a total body protein of 9.75 kg or greater.

First, we need to standardize the cutoff value using the Z-score formula:

Z = (X - μ) / σ

Z = (9.75 - 9.8) / 0.1 = -0.5

Using a standard Normal distribution table or calculator, we can find the probability of a Z-score of -0.5 or greater to be approximately 0.6914.

Therefore, the approximate probability that a randomly selected man with liver cirrhosis has a total body protein of 9.75 kg or greater is 0.6914.

The Distribution of Total Body Protein in Adult Men with Liver