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2 years ago

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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 norma

l distribution, with a mean of 5.2 million cells per microliter and a standard deviation of 0.5 million cells per microliter. What is the minimum red blood cell count that can be in the top 24% of counts? What is the maximum red blood cell count that can be in the bottom 15% of counts? can somebody help me?

1 answer:

Varvara68 [4.7K]2 years ago

8 0

Answer:

5.55 million cells per microliter

4.68 million cells per microliter

Step-by-step explanation:

First, use a chart or calculator to find the z-score for reach percentage.

P(Z > z) = 0.24

P(Z < z) = 1 − 0.24 = 0.76

z = 0.706

Next, use definition of z-score to find the value.

z = (x − μ) / σ

0.706 = (x − 5.2) / 0.5

x = 5.55

Repeat for the other percentage.

P(Z < z) = 0.15

z = -1.036

z = (x − μ) / σ

-1.036 = (x − 5.2) / 0.5

x = 4.68

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Here is your answer:

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