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
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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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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 nurse?
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