The distribution of white blood cell count per cubic millimeter of whole blood i

Question

The distribution of white blood cell count per cubic millimeter of whole blood is approximately Normal with mean 7500 and standard deviation 1750 for healthy patients. Include an appropriately labeled and shaded Normal curve for each part. There should be three separate curves. a. What is the probability that a randomly selected person will have a white blood cell count of between 7000 and 10,000? b. What is the probability that a randomly selected person will have a white blood cell count of between 5000 and 12,000? c. What is the probability that a randomly selected person will have a white blood cell count of more than 10,000?

Explanation / Answer

Here mean=7500 and sd=1750

A. We need to find P(7000<x<10000)

As this is given its normal distribution so we 'll convert x to z

P(7000-7500/1750<z<10000-7500/1750)=P(-0.286<z<1.67)=P(0<z<1.67)+P(0<z<-0.286)=0.4525+0.1126=0.5651

B. P(5000<x<12000)=P(-1.43<z<2.57)=0.4949+0.4236=0.9186

C.P(x>10000)=P(z>1.67)=0.5-P(0<z<1.67)=0.5-0.4525=0.0475

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