Example 5-34: For each of the density functions of a continuous random var X shown below, find (a) the mode. (b) the median, and (c) the mean. 625 141*(1-x²), -0.2 ≤rsı (a) f(x) = .0, otherwise

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2.
Example 5-34: For each of the density functions of a continuous random vari
X shown below, find (a) the mode. (b) the median, and (c) the mean.
r(1-x²).
(a) f(x) =
(b) f(x) =
(c) f(x) =
625
144
.0.
-0.2 ≤ x ≤ 1
otherwise
(0.9391 sin (√2-1), 0.8 ≤ x ≤ 2.2
10.
otherwise
(0.9062 cos(1-√3x), -0.1 ≤x≤ 1.4
lo.
otherwise
Transcribed Image Text:2. Example 5-34: For each of the density functions of a continuous random vari X shown below, find (a) the mode. (b) the median, and (c) the mean. r(1-x²). (a) f(x) = (b) f(x) = (c) f(x) = 625 144 .0. -0.2 ≤ x ≤ 1 otherwise (0.9391 sin (√2-1), 0.8 ≤ x ≤ 2.2 10. otherwise (0.9062 cos(1-√3x), -0.1 ≤x≤ 1.4 lo. otherwise
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