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 variablethat represents the number of milligrams of porphyrin per deciliter of blood. In healthy adults x is approximately normally distributed with the meanμ= 38 and standard deviationσ = 12. What is the probabilitythat:
(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).
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 …
The required probabilities have been worked out by calculating the z- scores. Neat work.