Question: When red blood cells are counted using a certain electronic counter, the standard deviation of repeated counts of the same blood specimen is about 0.8%

When red blood cells are counted using a certain electronic counter, the standard deviation of repeated counts of the same blood specimen is about 0.8% of the true value, and the of repeated counts is approximately normal. For example, this means that if the true value is 5,000,000 cells/mm3, then the standard deviation is 40,000.
(a) II the true value of the red blood count for a certain specimen is 5,000,000 cells/mm3, what is the probability that the counter would give a reading between 4,900,000 and 5,100,000?
(b) If the true value of the red blood count for a certain specimen is p, what is the probability that the counter would give a reading between 0.98/µ and 1.02/µ?
(c) A hospital lab performs counts of many specimens every day. For what percentage of these specimens does the reported blood count differ from the correct value by 2% or more?

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