The red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a normal distribution, with a mean of 5.1 million cells per microliter and a standard deviation of 0.3 million cells per microliter. (a) What is the minimum red blood cell count that can be in the top 27% of counts? (b) What is the maximum red blood cell count that can be in the bottom 12% of counts? (a) The minimum red blood cell count is____ million cells per microliter. (Round to two decimal places as needed.)
Added by Katie W.
Step 1
We can use a z-table or a calculator to find this value. The z-score corresponding to the top 27% is approximately 0.61. Now, we can use the z-score formula to find the minimum red blood cell count: z = (x - μ) / σ where z is the z-score, x is the value we want Show more…
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