# HW1 - BME 423 HOMEWORK#1 Fall 2008 1 The random variable(RV...

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BME 423 HOMEWORK #1 Fall 2008 1. The random variable (RV) X is normal with μ = 11, σ = 5. Find the probabilities of the following events: {X > 15}; {1.2 < X < 15}. Find the value x that satisfies each of the following: P(X > x)=0.1; P(X <x)=0.05. 2. The figure shows the pdf of the RV X. (a) Find μ x and σ x . 3. The df of the RV X is expressed as () 2 0 1 3 9 >3 x Fx x x x 0 < = 0 ≤ 1 , find & sketch the pdf of the RV X. 4. A useful measure of an individual’s cardiovascular function is the diastolic arterial blood pressure (DABP). The diastolic arterial blood pressure was measured in 10 subjects and the following values were obtained: 85, 88, 90, 92, 86, 100, 84, 87, 95, 98 Find the mean, standard deviation, median and standard error of the mean of DABP of this sample with 10 subjects. 5. If DABP is normally distributed in the entire population with a mean of 100 mmHg and a standard

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## This note was uploaded on 12/02/2008 for the course BME 423 taught by Professor D'argenio during the Fall '06 term at USC.

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HW1 - BME 423 HOMEWORK#1 Fall 2008 1 The random variable(RV...

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