White Blood Cells 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...

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in
A P (7000 < X < 10000)
Normal Distribution, µ = 7500, σ = 1750, we convert this to standard normal
using z = x− µ
σ
z1 =
7000 − (7500)
1750 ≈ −0.285714 ≈ −0.29
z2 =
10000 − (7500)
1750 ≈ 1.428571 ≈ 1.43
P (−0.29 < Z < 1.43) = Area in between −0.29 and 1.43
Z
0.3859
1.43
−0.29
0
0.9236
0.9236 − 0.3859 = 0.5377
P (7000 < X < 10000) = P (−0.29 < Z < 1.43)
= P (Z < 1.43) − P (Z < −0.29) = 0.9236 − 0.3859= 0.5377
P (Z < 1.43): in a z-table having area to the left of z, locate 1.4 in the left most column.
Move across the row to the right under column 0.03 and get value 0.9236
P (Z < −0.29): in a z-table having area to the left of z, locate -0.2 in the left most column.
Move across the row to the right under column 0.09 and get value 0.3859
Using...