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 circles, x is approximately normally distributed with mean u = 42 and standard deviation o = 10. Find the following probabilities. (Round your answers to four decimal places.) A USE SALT (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 an infection, anemia, or another type of illness.)

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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 circles, x is approximately
normally distributed with mean u = 42 and standard deviation o = 10. Find the following probabilities. (Round your answers to
four decimal places.)
A USE SALT
(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 an infection, anemia, or another type of illness.)
Transcribed Image Text: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 circles, x is approximately normally distributed with mean u = 42 and standard deviation o = 10. Find the following probabilities. (Round your answers to four decimal places.) A USE SALT (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 an infection, anemia, or another type of illness.)
Expert Solution
Step 1

a)

Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.

Thus, the z-score of that random variable X is z = (Xµ)/σ.

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