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 μ = 7300 and estimated standard deviation σ = 2900. 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.

What is the probability that, on a single test, x is less than 3500?

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 approximately normal with μx = 7300 and σx = 2900.
The probability distribution of x is approximately normal with μx = 7300 and σx = 1450.00.
The probability distribution of x is approximately normal with μx = 7300 and σx = 2050.61.
The probability distribution of x is not normal.

What is the probability of x < 3500? (Round your answer to four decimal places.)

Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)

Compare your answers to parts (a), (b), and (c). How did the probabilities change as n increased?

The probabilities stayed the same as n increased.
The probabilities decreased as n increased.
The probabilities increased as n increased.

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