2. If the probability density function of a random variable is given by f(x) = kx ==2k 0≤x≤2 2≤x≤4 = 6k-kx 4 ≤x≤6 Find (1) k, (ii) P(1 ≤ x ≤ 3), and (iii) X. 383

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. If the probability density function of a random variable is given by
f(x) == kx
==2k
0≤x≤2
2≤x≤4
= 6k-kx
4 ≤x≤6
Find (1) k, (ii) P(1 ≤ x ≤ 3), and (iii) X.
383
Transcribed Image Text:2. If the probability density function of a random variable is given by f(x) == kx ==2k 0≤x≤2 2≤x≤4 = 6k-kx 4 ≤x≤6 Find (1) k, (ii) P(1 ≤ x ≤ 3), and (iii) X. 383
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