Normal Distribution Problem.   Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage.  Assume porphyrin is normally distributed with mean (mu) = 38 milligrams per deciliter and standard deviation (sigma) = 12 milligrams per deciliter. What is the probability that x is less than 56?   What is the probability that x is greater than 23?  What is the probability that x is between 23 and 56?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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5.  Normal Distribution Problem.   Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage.  Assume porphyrin is normally distributed with mean (mu) = 38 milligrams per deciliter and standard deviation (sigma) = 12 milligrams per deciliter.

  1. What is the probability that x is less than 56?  
  2. What is the probability that x is greater than 23? 
  3. What is the probability that x is between 23 and 56? 
  4. What is the value at the 75 percentile?
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