Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood.  Assume that x has a distribution that is approximately normal with mean of 7500 and estimated standard deviation of 1750.  A test result of x<3500 is an indication of leukopenia.  This indicates bone marrow depression that may be the result of a viral infection. What is the probability that on a single test x<3500? Suppose that a doctor uses the average for two tests taken a week apart.  What can we say about the probability distribution of ?  What is the probability that <3500? Repeat part b with n = 3 tests taken a week apart. Compare your answers for parts a, b, and c. How did the probabilities change as n increased?  If a person had <3500 based on three tests, what conclusion would you draw as a doctor or a nurs

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood.  Assume that x has a distribution that is approximately normal with mean of 7500 and estimated standard deviation of 1750.  A test result of x<3500 is an indication of leukopenia.  This indicates bone marrow depression that may be the result of a viral infection.

  1. What is the probability that on a single test x<3500?
  2. Suppose that a doctor uses the average for two tests taken a week apart.  What can we say about the probability distribution of ?  What is the probability that <3500?
  3. Repeat part b with n = 3 tests taken a week apart.
  4. Compare your answers for parts a, b, and c. How did the probabilities change as n increased?  If a person had <3500 based on three tests, what conclusion would you draw as a doctor or a nurse?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

What is the Z value of calculating probability of x<3500, on a single test?

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman