The systolic and diastolic blood pressure values (mm Hg) are the pressures when the heart muscle contracts

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The systolic and diastolic blood pressure values (mm Hg) are the pressures when the heart muscle contracts and relaxes (denoted as Y and X, respectively). Over a collection of individuals, the distribution of diastolic pressure is normal with mean 73 and standard deviation 8. The systolic pressure is conditionally normally distributed with mean 1.6x when X = x and standard deviation of 10. Determine the following:

(a) Conditional probability density function fY|73(y) of Y given X = 73

(b) P(Y < 115 | X = 73)

(c) E(Y | X = 73)

(d) Recognize the distribution fXY (x, y) and identify the mean and variance of Y and the correlation between X and Y

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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