12. The red blood cell count for a population of adult males can be approximated by a normal distribution with a mean of 5.4 million cells per microliter and a variance of 0.16. What is the minimum red blood cell count, in million cells per microliter, that can be in the top 20% of counts?
12. The red blood cell count for a population of adult males can be approximated by a normal distribution with a mean of 5.4 million cells per microliter and a variance of 0.16. What is the minimum red blood cell count, in million cells per microliter, that can be in the top 20% of counts?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Question 12:**
The red blood cell count for a population of adult males can be approximated by a normal distribution, with a mean of 5.4 million cells per microliter and a variance of 0.16. What is the minimum red blood cell count, in million cells per microliter, that can be in the top 20% of counts?
Options:
- (A) 5.190
- (B) 5.609
- (C) 5.316
- (D) 5.483
**Explanation:**
This question involves the application of normal distribution principles to determine the value in the 80th percentile, as the top 20% in a normal distribution corresponds to the 80th percentile. Given a mean and variance, determine the minimum red blood cell count that falls into this category.
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