Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has

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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 1 (64.55 KiB) Viewed 40 times

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 y = 6850 and estimated standard deviation o = 2250. A test result of * < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. 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 for two tests taken about a week apart. What can we say about the probability distribution of ? The probability distribution of x is not normal. The probability distribution of x is approximately normal with My = 5850 and 5 = 1125.00 The probability distribution of x is approximately normal with = 6850 and o- 1590.99. The probability distribution of x is approximately normal with = 6850 and 7-2250. 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. The probabilities increased as n increased. The probabilities stayed the same as n increased. OO If a person had x < 3500 based on three tests, what conclusion would you draw as a doctor or a nurse? 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. 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. 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.