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The systolic arterial blood pressure observed for 20 dogs is normally distributed with a mean of 152 mm of mercury (hg) and a standard deviation of 18 mm of hg. what is the probability that the systolic arterial blood pressure is 100 mm of hg

User Nissan
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Given: The systolic arterial blood pressure observed for 20 dogs is normally distributed with a mean of 152 mm of mercury (Hg) and a standard deviation of 18 mm of Hg.

To find: P(100 < 152)

Method: Calculation of Z-Score followed by the probability or area of the bell curve at X = 100.

Solution:

Mean u = 152, std s = 18

Z score =
(X-u)/(s) = (100-152)/(18) = -2.89

The value of P(100<152) is calculated by looking at the value of Z in the Z score for the standard normal distribution given in the image.

P(Z=-2.89) = 0.0019

The P(Z = -2.89) corresponds to the area in the left tail of the bell curve.

Thus the probability of 100 mm Hg blood pressure is 0.0019.

The systolic arterial blood pressure observed for 20 dogs is normally distributed-example-1
User Chenatu
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