SOLUTION: uppose the systolic blood pressure of an adult male is normally distributed with a mean of 138 mm of mercury and a standard deviation of 10 mm of mercury. a) (2 marks) If an adu

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Question 1170265: uppose the systolic blood pressure of an adult male is normally distributed with a mean of 138 mm of mercury and a standard deviation of 10 mm of mercury.
a) (2 marks) If an adult male is selected at random, find the probability that his blood pressure will be greater than 160 mm.
b) (4 marks) If an adult male is selected at random, find the probability that his blood pressure will be between 120 mm and 135 mm.
c) (4 marks) If an adult male is selected at random, find the probability that his blood pressure will be within 25 mm of the population mean.
d) (4 marks) Find the 92nd percentile of the probability distribution.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
z>22/10 or 2.2
0.0139 probability
-
z between -1.8 and -0.3 with probability of 0.3462
-
z between +/- 2.5 or 0.9876
-
z=1.405 so the BP would be 152.05 mm Hg

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