Jim\'s systolic blood pressure is arandom variable with a mean of 145 mmHg and a

Question

Jim's systolic blood pressure is arandom variable with a mean of 145 mmHg and a standard deviation of20 mmHg. For Jim's age group, 140 is the cutoff for high bloodpressure.

Required:

If Jim's systolic blood pressure is taken at a randomly chosenmoment, what is the probability that it will be,

Jim's systolic blood pressure is arandom variable with a mean of 145 mmHg and a standard deviation of20 mmHg. For Jim's age group, 140 is the cutoff for high bloodpressure.

Explanation / Answer

z(x) = (x - ) / In this problem, we know = 145 and = 20. A) P(X < 135) = p(135) z(135) = (135 - 145) / 20 = -.5 --> p = .3085 B) P(X > 175) = 1 - P(X < 175) = 1 - p(175) z(175) = (175 - 145) / 20 = 1.5 --> p = .9332 P(X > 175) = 1 - .9332 = .0668 C) P(125 p = .8413 z(125) = (125 - 145) / 20 = -1 --> p = .1587 P(125

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