Question

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let 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 mean of 38 and standard deviation of 12 . What is the probability that

a) x is less than 60?

b) x is between 16 and 60?

Answer 1

µ = 38

a)

                            

                             = P(Z < 1.83)

                             = 0.9664

b)

                                        

                                         = P(-1.83 < Z < 1.83)

                                         = P(Z < 1.83) - P(Z < -1.83)

                                         = 0.9664 - 0.0336

                                         = 0.9328