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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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 Fall '06
 D'Argenio
 Biomedical Engineering

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