# Blood Protoplasm - Normal Distribution

Medical: Blood Protoplasm - Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy adults x is approximately normally distributed with the mean μ= 38 and standard deviation σ = 12. What is the probability that:

(a) x is less than 60

(b) x is greater than 16

(c) x is between 16 and 60

(d) x is more than 60 (this may indicate infection, anemia, or another type of illness).

https://brainmass.com/statistics/normal-distribution/blood-protoplasm-normal-distribution-183801

#### Solution Preview

M = 38, s = 12; z = (x - M)/s

(a) z = (60 - 38)/12 = 1.833

P(x < 60) = Area under the Standard Normal Curve to the ...

#### Solution Summary

The required probabilities have been worked out by calculating the z- scores. Neat work.