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Probability

Jim's systolic blood pressure is a random variable with a mean of 145 mmHg and a standard deviation of 20 mmHg. For Jim's age group, 140 is the cutoff for high blood pressure.

If Jim's systolic blood pressure is taken at a randomly chosen moment, what is the probability that it will be, (a) 135 or less?
(b) 175 or more?
(c) between 125 and 165?

Solution Preview

z = (x - mu)/sigma

(a) z = (135 - 145)/20 = -0.5

P(x < 135) = P(z < -0.5) = 0.3085 (To get this, subtract the area under the standard normal curve between z = 0 ...

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