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 ? = 7350 and estimated standard deviation ? = 2300. 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 = 7350 and ?x = 1626.35.     The probability distribution of x is approximately normal with ?x = 7350 and ?x = 1150.00. The probability distribution of x is approximately normal with ?x = 7350 and ?x = 2300. 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.)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.