6.5.011. Help me with question b part 2 please. Let x be a random variable that

Question

6.5.011. Help me with question b part 2 please. 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 = 8150 and estimated standard deviation = 2900. A test result ofx < 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.)
Correct answer:0.0544

(b part 1) 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?
Correct answer: The probability distribution of x is approximately normal with x = 8150 and x = 2050.61.

b part 2) What is the probability of x < 3500? (Round your answer to four decimal places.)

Explanation / Answer

part 2 b )

P( x < 3500 )

P( z < 3500 - 8150 / 2050.61 )

p( z < -2.27 ) = 0.0116

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