Question: 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

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 7500 and population standard deviation 1750. A test result of less than 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. Suppose a doctor uses the average (x-bar) for a random sample of two tests.

a. What is the distribution of the sample means, (x-bar)?

b. What is the probability of getting a sample mean less than 3500?

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