### What is the probability of x bar less than a value

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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 the mean mu = 7500 and the standard deviation equals 1750. A test result of x is less than 3500 is an indication of leukopenia. what is the probability that on a single test x is less than 3500?
B. suppose a doctor uses the average x bar for two tests taken about a week apart. what is the probability of x bar less than 3500? C. Repeat part B for n = 3 tests taken a week apart.

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