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 5.8 million cells per microliter and a standard deviation of 0.4 million cells per microliter. ​(a) what is the minimum red blood cell count that can be in the top ​28% of​ counts? ​(b) what is the maximum red blood cell count that can be in the bottom 14​% of​ counts? ​(a) the minimum red blood cell count is nothing million cells per microliter."

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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 5.8 million cells per microliter and a standard deviation of 0.4 million cells per microliter. ​(a) what is the minimum red blood cell count that can be in the top ​28% of​ counts? ​(b) what is the maximum red blood cell count that can be in the bottom 14​% of​ counts? ​(a) the minimum red blood cell count is nothing million cells per microliter."

Expert Solution
Step 1

Given:

μ=5.8σ=0.4

a)  The minimum red blood cell count that can be in the top ​28% of​ counts is obtained as below:

PX>x=0.28PX-μσ>X-5.80.4=0.28PZ>X-5.80.4=0.281-PZ<X-5.80.4=0.28PZ<X-5.80.4=0.72

The p-value is obtained from excel using "=NORMSINV(probability)".

Output obtained using Excel is given below:

Statistics homework question answer, step 1, image 1

From the output, the  value is 0.5828.

X-5.80.4=0.5828 X=0.5828×0.4+5.8=0.23312+5.8=6.03312

Thus, the minimum red blood cell count that can be in the top ​28% of​ counts is 6.03 million cells per microliter.

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