Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has adistribution that is approximately normal, with mean u = 7750 and estimated standard deviation o = 2400. A test result ofx < 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 probabilitydistribution 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. Theperson 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 personprobably 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. Theperson 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 personprobably has leukopenia.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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 ? = 6050 and estimated standard deviation ? = 1500. 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. (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 not normal.The probability distribution of x is approximately normal with ?x = 6050 and ?x = 1500. The probability distribution of x is approximately normal with ?x = 6050 and ?x = 750.00.The probability distribution of x is approximately normal with ?x = 6050 and ?x = 1060.66. What is the probability of x < 3500? (Round your…
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