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Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean u = 7750 and estimated standard deviation o = 2400. 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. n USE SALT (a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.) (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? O The probability distribution of x is approximately normal with u, = 7750 and = 2400. O The probability distribution of x is approximately normal with u, = 7750 and o, = 1200.00. O The probability distribution of x is approximately normal with = 7750 and o = 1697.06. O The probability distribution of x is not normal. What is the probability of x < 3500? (Round your answer to four decimal places.) (c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)

Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean u = 7750 and estimated standard deviation o = 2400. 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. n USE SALT (a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.) (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? O The probability distribution of x is approximately normal with u, = 7750 and = 2400. O The probability distribution of x is approximately normal with u, = 7750 and o, = 1200.00. O The probability distribution of x is approximately normal with = 7750 and o = 1697.06. O The probability distribution of x is not normal. What is the probability of x < 3500? (Round your answer to four decimal places.) (c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
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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Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean u = 7750 and estimated standard deviation o = 2400. 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. n USE SALT (a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.) (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? The probability distribution of x is approximately normal with µ, = 7750 and o, = 2400. The probability distribution of x is approximately normal with u, = 7750 and o, = 1200.00. O The probability distribution of x is approximately normal with u, = 7750 and o, = 1697.06. O The probability distribution of x is not normal. What is the probability of x < 3500? (Round your answer to four decimal places.) (c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.) (d) Compare your answers to parts (a), (b), and (c). How did the probabilities change as n increased? The probabilities decreased as n increased. O The probabilities stayed the same as n increased. O The probabilities increased as n increased. If a person had x < 3500 based on three tests, what conclusion would you draw as a doctor or a nurse? O It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. The person probably does not have leukopenia. O It would be a common event for a person to have two or three tests below 3,500 purely by chance. The person probably does not have leukopenia. O It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. The person probably has leukopenia. O It would be a common event for a person to have two or three tests below 3,500 purely by chance. The person probably has leukopenia.
Transcribed Image Text:Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean u = 7750 and estimated standard deviation o = 2400. 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. n USE SALT (a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.) (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? The probability distribution of x is approximately normal with µ, = 7750 and o, = 2400. The probability distribution of x is approximately normal with u, = 7750 and o, = 1200.00. O The probability distribution of x is approximately normal with u, = 7750 and o, = 1697.06. O The probability distribution of x is not normal. What is the probability of x < 3500? (Round your answer to four decimal places.) (c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.) (d) Compare your answers to parts (a), (b), and (c). How did the probabilities change as n increased? The probabilities decreased as n increased. O The probabilities stayed the same as n increased. O The probabilities increased as n increased. If a person had x < 3500 based on three tests, what conclusion would you draw as a doctor or a nurse? O It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. The person probably does not have leukopenia. O It would be a common event for a person to have two or three tests below 3,500 purely by chance. The person probably does not have leukopenia. O It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. The person probably has leukopenia. O It would be a common event for a person to have two or three tests below 3,500 purely by chance. The person probably has leukopenia.
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